Question 1

For the given functions f and g, find the requested composite function value.
- , g(x)= 16x - 3; Find (f ∘ g)(7).
A)106,602
B)6,717
C)99,885
D)45,780

Accepted Answer

A

Question 2

For the given functions f and g, find the requested composite function value.
- g(x)=  Find (g ∘ f)(-2).
A)25
B)13
C) 
D)

Accepted Answer

A

Question 3

For the given functions f and g, find the requested composite function value.
- ; Find (g ∘ g)(1).
A)199
B)16
C)67
D)10

Accepted Answer

A

Question 4

For the given functions f and g, find the requested composite function.
-f(x)=  , g(x)= 3x + 5; Find (g ∘ f)(x).
A)x
B)3x + 10
C)x + 10
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 5

For the given functions f and g, find the requested composite function value.
-f(t)=  ,  Find (f ∘ g)(9).
A)25
B)31
C)625
D)360

Accepted Answer

The answer of For the given functions f and g,...

Question 6

For the given functions f and g, find the requested composite function value.
-f(x)= 2x + 6, g(x)=  ; Find 
A)16,901
B)136
C)785
D)34

Accepted Answer

The answer of For the given functions f and g,...

Question 7

Evaluate the expression using the values given in the table.
- 
A)-7
B)4
C)-2
D)11

Accepted Answer

The answer of Evaluate the expression using the values given...

Question 8

For the given functions f and g, find the requested composite function.
-f(x)=  g(x)= 8x - 12; Find (f ∘ g)(x).
A) 
B) 
C) 
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 9

For the given functions f and g, find the requested composite function.
-f(x)=  , g(x)= 4x - 3; Find (g ∘ f)(x).
A) 
B) 
C) 
D)

Accepted Answer

(g ∘ f)(x) means plugging the function f into g. 
(g ∘ f)(x) = g(f(x)) = 4f(x) - 3 
= 4(11ebbed0_ca98_f94d_8acb_739d28fb9007_TB8253_11) - 3 
= 11ebbed0_ca98_f94e_8acb_e36f8eba8c59_TB8253_11

Question 10

For the given functions f and g, find the requested composite function.
-f(x)= 3x + 8, g(x)= 3x - 1; Find (f ∘ g)(x).
A)9x + 5
B)9x + 11
C)9x + 7
D)9x + 23

Accepted Answer

(f ∘ g)(x) = f(g(x)) = f(3x - 1) = 3(3x - 1) + 8 = 9x + 5

Question 11

For the given functions f and g, find the requested composite function.
-f(x)=  , g(x)=  ; Find (f ∘ g)(x).
A) 
B) 
C) 
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 12

For the given functions f and g, find the requested composite function.
- g(x)= 5x + 2; Find (g ∘ f)(x).
A)x
B)5x + 8
C)x + 4
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 13

For the given functions f and g, find the requested composite function value.
-f(x)= 7x + 8, g(x)=  Find (g ∘ f)(3).
A)- 
B) 
C) 
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 14

For the given functions f and g, find the requested composite function.
-f(x)= -2x + 5, g(x)= 5x + 3; Find (g ∘ f)(x).
A)-10x + 28
B)-10x + 11
C)10x + 28
D)-10x - 22

Accepted Answer

To find the composite function (g ∘ f)(x), you substitute f(x) into g(x). So, g(f(x)) = g(-2x + 5) = 5(-2x + 5) + 3 = -10x + 25 + 3 = -10x + 28.

Question 15

Evaluate the expression using the values given in the table.
- 
A)1
B)8
C)7
D)Undefined

Accepted Answer

The answer of Evaluate the expression using the values given...

Question 16

For the given functions f and g, find the requested composite function value.
-f(x)= 4x + 6,  ; Find (f ∘ g)(0).
A)26
B)149
C)30
D)105

Accepted Answer

The answer of For the given functions f and g,...

Question 17

Evaluate the expression using the graphs of y = f(x)and y = g(x).
-Evaluate (fg)(1). 
A)6
B)-5
C)3
D)0

Accepted Answer

The answer of Evaluate the expression using the graphs of...

Question 18

For the given functions f and g, find the requested composite function value.
- , g(x)= 15x - 8; Find (f ∘ g)(7).
A)121,929
B)9,127
C)112,802
D)59,073

Accepted Answer

The answer of For the given functions f and g,...

Question 19

For the given functions f and g, find the requested composite function value.
- g(x)= 3x; Find (f ∘ g)(3).
A) 
B) 
C) 
D)

Accepted Answer

The answer of For the given functions f and g,...

Question 20

For the given functions f and g, find the requested composite function.
- , g(x)=  ; Find (f ∘ g)(x).
A) 
B) 
C) 
D)

Accepted Answer

(f ∘ g)(x) = f(g(x))
Substituting g(x) in f(x), we get:
f(g(x)) = 11ebbed0_ca98_ab22_8acb_a58b2cfedb8f_TB8253_11

Quiz 6: Exponential and Logarithmic Functions

For the given functions f and g, find the requested composite function value. - , g(x) = 16x - 3; Find (f ∘ g) (7) .

For the given functions f and g, find the requested composite function value. - g(x) = Find (g ∘ f) (-2) .

For the given functions f and g, find the requested composite function value. - ; Find (g ∘ g) (1) .

For the given functions f and g, find the requested composite function. -f(x) = , g(x) = 3x + 5; Find (g ∘ f) (x) .

For the given functions f and g, find the requested composite function value. -f(t) = , Find (f ∘ g) (9) .

For the given functions f and g, find the requested composite function value. -f(x) = 2x + 6, g(x) = ; Find

Evaluate the expression using the values given in the table. -

For the given functions f and g, find the requested composite function. -f(x) = g(x) = 8x - 12; Find (f ∘ g) (x) .

For the given functions f and g, find the requested composite function. -f(x) = , g(x) = 4x - 3; Find (g ∘ f) (x) .

For the given functions f and g, find the requested composite function. -f(x) = 3x + 8, g(x) = 3x - 1; Find (f ∘ g) (x) .

For the given functions f and g, find the requested composite function. -f(x) = , g(x) = ; Find (f ∘ g) (x) .

For the given functions f and g, find the requested composite function. - g(x) = 5x + 2; Find (g ∘ f) (x) .

For the given functions f and g, find the requested composite function value. -f(x) = 7x + 8, g(x) = Find (g ∘ f) (3) .

For the given functions f and g, find the requested composite function. -f(x) = -2x + 5, g(x) = 5x + 3; Find (g ∘ f) (x) .

Evaluate the expression using the values given in the table. -

For the given functions f and g, find the requested composite function value. -f(x) = 4x + 6, ; Find (f ∘ g) (0) .

Evaluate the expression using the graphs of y = f(x) and y = g(x) . -Evaluate (fg) (1) .

For the given functions f and g, find the requested composite function value. - , g(x) = 15x - 8; Find (f ∘ g) (7) .

For the given functions f and g, find the requested composite function value. - g(x) = 3x; Find (f ∘ g) (3) .

For the given functions f and g, find the requested composite function. - , g(x) = ; Find (f ∘ g) (x) .