Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

Answer 1

The correct option is D f⁻¹(x) = 2 + √(x + 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

To know more about a function follow

brainly.com/question/3831584

#SPJ1


Related Questions

LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!

Answers

Answer:

This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.

please help me with math

Answers

Answer:

Hope this helps

Step-by-step explanation:

136 is 0.8​% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 136​, slightly less than 136​, slightly greater than 136​, or a lot greater than 136​? Explain.

Answers

Bbbnnbbnnnnnnnjjjjhgcccyhcvhjvvjjbjvivvi

What is m if 14 + 9m = -13

Answers

Answer:

-3m

Step-by-step explanation:

everyone knows we should take the unknown letter to a one side and numbers to another side.

so first ;

9m + 14 = -13

9m = -13 - 14

9m =-27

9m/9 = -27 / 9

m = -3

-3 is the finale answer

Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).

Answers

Answer:

y = ¼x + (-7/4)

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

the

find C in the equation (y=mx+c)

C = y-mx ( C = -1-¼(3)= -7/4

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

y = ¼x+(-7/4)

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

What is Slope intercept form?

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

pls answer asap and correctly

Answers

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

3x/2x simplified into racio

Answers

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

can someone please help me with this

Answers

Answer:

if the question is what is the are of the circle without the rectangle inside it, then we could solve it easily using the Mathematical formula for A Circle's area which is

[tex]\pi {r}^{2} [/tex]

since a radius is half a diameter, and the diameter is 8cm, the radius becomes 4 cm

Step-by-step explanation:

π×4^2

3.14×16

50.24

make p the subject of t=p+m/p-m

Answers

Answer:

t=9+m/9-m

Step-by-step explanation:

8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

Giving brainlyest if your answer is right

Answers

Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

how do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST

Answers

Answer:

5/6, 6/7, 7/8

Step-by-step explanation:

The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.

Hope that helps

Write a statement and reason proof.

Answers

Answer:

l want to do all your math

Answer:

<XPE = <ENY

Step-by-step explanation:

<1=<2 (GIVEN)

SO <3+<4= <5+<6

<3=<4 (PE Bisects <APN)

<5=<6 (EN bisects <ANP)

so <3=<5

than <XPE=< ENY

49000000 -8373448588766

Answers

answer:

-8.3733995^12

Alex wrote the expanded form for the number 165.038 as “100 + 60 + 5 + 30 + 8.” Was he correct? If not, give the correct expanded form. P.S I really need the answer asap!

Answers

Answer:

no he is not correct.

the correct expanded form: 100+60+5+0.0+0.30+0.008

Step-by-step explanation:

Hope this helps also i learned about this r u in 5th grade

Alex's expanded form for the number 165.038 is not correct. The correct expanded form for the number 165.038 is 100 + 60 + 5 + 0.03 + 0.008.

The number 165.038 can be broken down into its individual place values:

Hundreds: 100

Tens: 60 (6 tens)

Ones: 5

Tenths: 0.03 (3 hundredths)

Hundredths: 0.008 (8 thousandths)

So, the correct expanded form for the number 165.038 is:

100 + 60 + 5 + 0.03 + 0.008

Hence, Alex's expanded form for the number 165.038 is incorrect. The correct expanded form is: 100 + 60 + 5 + 0.03 + 0.008.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ3

what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,

Answers

Answer:  [tex]y = -\frac{2}{3}x+2[/tex]

Check out the diagram below.

======================================================

Work Shown:

[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.

Where did we get one?

Answers

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

Mrs. Perciballi went to the LOFT for a sale and spent $40 on a dress and bought 3 shirts of equal value. Her purchases totaled $115. Define a variable, then write and solve an equation to find how much each shirt cost.​

Answers

Answer:

Variable- an unknown number

Each shirt is 25$

Step-by-step explanation:

P (Price)

S (Shirt)

F) p=40+3s

S) 115=40+3s, 115-40=3s, 75=3s

E) s=25

Correct answer gets Brainly !!

Answers

Answer: X=5

Step-by-step explanation:  Because if you subtract 10-(-5) it = 5

Free 10 pointss oh:>​

Answers

Answer:

oh it's 5 not 10 xD

The hazard management process consists of a number of activities designed to reduce loss of life and destruction of property. Natural hazard management has often been conducted independently of development planning. A distinctive feature of OAS technical assistance is the integration of the two processes.

Step-by-step explanation:

plz mark me as brainliest

have a great day

The answer is:
Thank you

Here is a list of numbers:
1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5
State the median.
Give your answer as a decimal.

Answers

Answer:

So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.

Then, I divided 50.5 by 9 since that is how many number sections there are.

Therefore, I get 5.61.

Find the value of x, and please explain how you got x

Answers

x equals to 48

The work is shown in the picture. I hope this helps.

for cases of n objects taken n at a time the number of possible combinations is _____________ the number of possible permutations.

Answers

Answer:

I believe your answer is less than or equal to. I hope this helps.

I’m pretty sure that the answer is less than hopefully this helps

 Use trigonometric identities to solve each equation within the given domain

sec(x) cos(3x) = 0 from [- x /2 , x /2]

Answers

Answer:

Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].

Step-by-step explanation:

Angle sum identity for cosine:

[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].

Double-angle identity for cosine and sine:

[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].

[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].

The secant of an angle is the inverse reciprocal of the cosine of that angle:

[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].

Apply these identities to rewrite the left-hand side of the equation.

[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].

Solve the rewritten equation:

[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].

Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].

The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].

If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].

Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],

Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.

can i get help for number 3???!?! please!!

Answers

Answer:

1.) 40 degrees

2.) 75 degrees

3.) 105 degrees

4.) 140 degrees

Step-by-step explanation:

Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle

1.) angle = 180-140

2.) angle = 180-105

3.) angle = 180-75

4.) angle = 180-40

Answer:

Measure of angle 1 is: 40 degrees

Measure of angle 2 is: 75 degrees

Measure of angle 3 is: 105 degrees

Measure of angle 4 is: 140 degrees

Step-by-step explanation:

Each of these angles is supplementary, meaning it adds up to 180 degrees,Thus, we can just subtract the measurement given from 180 to get our angle's measurement :)

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

Answers

Answer:

115.248

Step-by-step explanation:

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

120−96×[5 ÷ {23 − 3 × (-26)}]

120−96×[5 ÷ {101}]

120−96×[0.0495]

115.248

Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is

Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)

Answers

Step-by-step explanation:

gud eve.

good nigth

ilove you

In Math, the word dilate means to make a figure

Answers

Answer:

False

Step-by-step explanation:

in math, dilate means changing the size of an object without changing its shape

Have a good day, sorry if I'm wrong:)

(if I am wrong, plz tell me<3)

whats the solution of 4-|x| = 1

Answers

Answer:

Well, x=3, -3

Step-by-step explanation:

If you use a calculator you'll easily be able to figure this out.

Answer:

x = -3 or x = 3

Step-by-step explanation:

4 - |x| = 1

Subtract 4 from both sides:

4 - 4 - |x| = 1 - 4

- |x| = -3

Divide both sides by -1:

[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]

x = -3 or x = 3

Other Questions
will mark brainliest What is true of a saturated solution? convert to standard form 2.9x10 to the power of 3 plssss help the hershey and chase blender experiment was designed to Find my number, if it is a two-digit one, one of its digits is 9.and it has remainder O when divided by 6. Straight photography was popularized by ______(1)______, which is ______(2)______.a.(1) Dorothea Lange;(2) a process of combining several distinct images to produce a blended or combined picture. This is done by blocking out certain parts during processing, while in the dark room.b.(1) Alfred Stieglitz;(2) a form of photography in which pictures are printed directly from the negatives with no cropping or other manipulation.c.(1) Eddie Adams;(2) a darkroom technique to create surreal images.d.(1) Margaret Bourke White;(2) a photographic narrative consisting of a series of related images. USE THE STEPS BELOW TO ANSWER QUESTIONS 1-2.Step 1: 3/4 (12x + 20y)Step 2: 9x + 15yStep 3: 3(3x + 5y)Step 4: 3(5y + 3x)1.Which property below is used between Steps 1 and 2 ?A. Associative propertyB. Commutative propertyC. Distributive propertyD. Identity property2.Which property below is used between Steps 3 and 4 ?A. Associative propertyB. Commutative propertyC. Identity propertyD. Inverse property PLEASE HELP MEE 50 PtsQuestion: What are the local, state, and federal taxes for a healthcare business? find the domain and range of the following functions you hear about an economy with no change in the number of workers or capital. yet, production increases. what idea does this illustrate? Consider the following information: Budgeted indirect cost $2,000 Budgeted production units 800 Budgeted direct manufacturing labor hours 500 Budgeted customer orders 400 Actual number of setups 1,000 Using broad averaging, what is the budgeted indirect-cost rate per direct manufacturing labor-hour Multiply out and simplify: (3x + 4) (2x - 1) Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 4 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.Justin's average speed to his parents' house: __________ mphJustin's average speed from his parents' house: __________ mph Hi can someone pls tell me what the Asians daily life is now during the pandemic (20 pts) correctly classify each relation.{(2, 2),(4, 4),(6, 6),(8, 8)}{(0, 3),(3, 5),(5, 6),(8, 4)} {(1, 2),(3, 3),(4, 8),(6, 3)}{(3, 4),(5, 2),(5, 6),(7, 3)} which ones are functions MATH REAL ANSWER PLS DONT ANSWER THEN DELETE (BENNY whatever ur 500 accounts are im filing a police report if you answer this so choose wisely) ANYWAY PLS HELP ASAP. Write the place value of underlined digit in 8.745 Calculating HeightA ski lift is used to transport people from the base of a hill to the top. If the lift leaves thebase at a velocity of 15.5 m/s and arrives at the top with a final velocity of 0 m/s, what is the height of the hill? Round the answer to the nearest tenth. GUYS PLEASE HELP I HAVE SCHOOL TOMORROW AND THIS IS THE LAST QUESTION BEFORE I GET TO GO TO A HAUNTED HOUSE XD. When a cell uses a ____ channel to get large molecules across the cell membrane this is known as ___ diffusion. That's all it gives me two answers please. *PLEASE HELP* when it is time to end a reflux, first choose... and then turn off the heat. choose... until the system has cooled.