Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
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What is the distance from point D to point C?
A.1 unit
B.2 units
C.3 units
D.4 units
Answer:
the distance from point D to point C.
B.2 units
Answer:
B:-2
Step-by-step explanation:
just count the box and you will get your answer
he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.
2(3.4 – 2.1) + 4.1
Which statement is true?
Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.
Sarah performed the first step correctly.
Given the function that Sarah performed as:
[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]
To simplify the function, the first step Sarah carries out is to divide the numerator by 2:
[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]
This shows that Sarah performed the first step correctly.
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Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
5[tex]x^{4}[/tex] (x - 3)(x - 2)
Step-by-step explanation:
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term
= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 3 and - 2 , then
x² - 5x + 6 = (x - 3)(x - 2)
Then
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
vertical and horizontal asymptotes
Find the solutions to x2 = 24.
A. x = 16.2
X
B. X= 14,6
C. X= +6.14
D. X = +216
There are 120 apartments on 15 floors. Find the unit rate.
10) $48,000 at 16% for 6 years
Answer:
No solution
Step-by-step explanation:
idek
Find the slope of a line perpendicular to the given line. x = - 1
Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3
Answer:
fun fact
Step-by-step explanation:
I celebrate on christmas eve :)
german tradition
thanks and to you as well ^-^
helppppppppppppppppppppppppppppp
Answer:C
Step-by-step explanation:
I seraph it up
Latisha works x hours a day.
No. of hours Demetrius works = x+1 a day.
No. of working days a week = 5
No. of hours Demetrius works weekly =
= 5(x+1)
which can also be written as 5x+5
So the c option is correct.
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
D. Associative property of addition
Step-by-step explanation:
The associative property of addition states "Changing the group of addends does not change the sum." This means it does not matter what order you use when adding the variables together, and PEMDAS does not apply.
The commentative property of addition states the order of the numbers when adding does not change the sum. While this is true for this equation, this is not the main focus as we are still adding the same way from lines 3-4 with 6+3, instead of 3+6
Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Learn more about functions here:
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18)
If the circumference of a circle is changed from 9am to 3 cm, how will the diameter change?
What is the answer?
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Answer:
if you want simple answer then check second picture
Step-by-step explanation:
,
Question 7 high school geometry.
[tex]\huge \bf༆ Answer ༄[/tex]
In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]
therefore,
[tex] \sf12x - 8 + 104 = 180[/tex][tex] \sf12x + 96 = 180[/tex][tex] \sf12x = 180 - 96[/tex][tex] \sf12x = 84[/tex][tex] \sf x = 84 \div 12[/tex][tex] \sf x = 7[/tex]Hence, the value of x is ~ 7
what is 17/5 - 16/5 as an improper fraction
Answer: 1/5 is a proper fraction, it can not be written as a mixed or improper fraction
Step-by-step explanation:
17/5 - 16/5
1/5
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
8/9 = 24/27
8/9 = 56/63
24 and 63 are the answers
18. A family drove 28 miles in 35 minutes. At that rate, how many minutes would it take the
family to drive 91 miles?
72.8 minutes
098 minutes
O 113.75 minutes
O 122.5 minutes
Answer:
Answer:
time = 113.75 minutes
= 113.75 min
= 01:53:45
= 1 hours, 53 minutes, 45 seconds
Step-by-step explanation:
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.
But solutions to a quadratic equation is essentially where the line crosses the 'x' line.
Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please
Answer:
5
Step-by-step explanation:
4.50 + 1.50 = 6
30 / 6 = 5
answer = 5
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
y= 3x + 1
y=x-3
y=2x+5
y= 2x – 5
6 pounds of candy cost 22.44. What is the cost of one pound
Answer:
$3.74
Step-by-step explanation:
Proportions:
6 pounds ⇔ $22.44
1 pound ⇔ $ C
C = 22.44*1/6
C = $3.74
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
2
Step-by-step explanation:
3:1=6:2
They buy 2 pepperoni pizzas.
I need help eeeeeeeee
Answer:
one left so they all shift by 1
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answer:
c
Step-by-step explanation:
please help me asapppp
ty :)
Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
Hi someone please help
Answer:
1st one is 68 and the 2nd one is 25. hope that helps
Answer:
1. 112°2. 25°Step-by-step explanation:
1. 50° + 62° = x°
112° = x°
2. x° + 125° = 150°
x° = 150° - 125°
x° = 25°
(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
thank you in advance to whoever answers this question !!!!
Please HELP!!!
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
_,_,_, and _
Answer:
- 3, 1, 5, 9
Step-by-step explanation:
The first 4 terms are the values of y corresponding to x = 1, 2, 3, 4 , that is
(1, - 3 ) , (2, 1 ) , (3, 5 ) , (4, 9 )
first 4 terms are - 3, 1, 5, 9