wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Composite Functions

Total questions: 12

Worksheet time: 27mins

Name
Class
Date
1.

Given f(x)=5x+7f\left(x\right)=5x+7  and  g(x)=3+4xg\left(x\right)=3+4x , find  (fg)(x)\left(f\circ g\right)\left(x\right)  in simplest form.

a)

 15+16x15+16x  

b)

 31+20x31+20x  

c)

 22+20x22+20x  

d)

 42+25x42+25x  

2.

Given f(x)=5x+7f\left(x\right)=5x+7  and  g(x)=3+4xg\left(x\right)=3+4x , find  (gg)(x)\left(g\circ g\right)\left(x\right)  in simplest form.

a)

 15+16x15+16x  

b)

 31+20x31+20x  

c)

 22+20x22+20x  

d)

 42+25x42+25x  

3.

Given f(x)=5x+7f\left(x\right)=5x+7  and  g(x)=3+4xg\left(x\right)=3+4x , find  (gf)(x)\left(g\circ f\right)\left(x\right)  in simplest form.

a)

 15+16x15+16x  

b)

 31+20x31+20x  

c)

 22+20x22+20x  

d)

 42+25x42+25x  

4.

Given f(x)=5x+7f\left(x\right)=5x+7  and  g(x)=3+4xg\left(x\right)=3+4x , find  (ff)(x)\left(f\circ f\right)\left(x\right)  in simplest form.

a)

  42+25x  

b)

 31+20x31+20x 

c)

 22+20x22+20x  

d)

  15+16x15+16x  

5.

Given f(x)=5x+7f\left(x\right)=5x+7  and  g(x)=3+4xg\left(x\right)=3+4x , find  (ff)(1)\left(f\circ f\right)\left(1\right)  in simplest form.

a)

 3131   

b)

 5151  

c)

 4242   

d)

 6767   

6.

Given f(x)=3x6f\left(x\right)=3x-6  and  g(x)=x2+4g\left(x\right)=x^2+4 , find  (fg)(x)\left(f\circ g\right)\left(x\right)  in simplest form.

a)

 3x2+123x^2+12  

b)

 3x263x^2-6  

c)

 3x2+63x^2+6  

d)

 3x2123x^2-12  

7.

Given f(x)=3x6f\left(x\right)=3x-6  and  g(x)=x2+4g\left(x\right)=x^2+4 , find  (gf)(x)\left(g\circ f\right)\left(x\right)  in simplest form.

a)

 9x236x9x^2-36x   

b)

 9x2+429x^2+42  

c)

 9x2+36x429x^2+36x-42  

d)

 9x236+409x^2-36+40  

8.

Given f(x)=3x6f\left(x\right)=3x-6  and  g(x)=x2+4g\left(x\right)=x^2+4 , find  (gf)(1)\left(g\circ f\right)\left(-1\right)  

a)

13

b)

85

c)

9

d)

65

9.

Given f(x)=3x6f\left(x\right)=3x-6  and  g(x)=x2+4g\left(x\right)=x^2+4 , find  (ff)(2)\left(f\circ f\right)\left(2\right)  

a)

6

b)

-8

c)

8

d)

-6

10.

Given f(x)=4x4f\left(x\right)=\sqrt{4x-4}  and  g(x)=3x+1g\left(x\right)=3x+1 , find  (gg)(x)\left(g\circ g\right)\left(x\right)  in simplest form.

a)

 9x+49x+4  

b)

 12x212x-2  

c)

 12x612x-6  

d)

  9x+39x+3  

11.

Given f(x)=4x4f\left(x\right)=\sqrt{4x-4}  and  g(x)=3x+1g\left(x\right)=3x+1 , find  (fg)(3)\left(f\circ g\right)\left(3\right)  in simplest form.

a)

-12

b)

6

c)

 222\sqrt{2}  

d)

 34\sqrt{34}  

12.

Given f(x)=4x4f\left(x\right)=\sqrt{4x-4}  and  g(x)=3x+1g\left(x\right)=3x+1 , find  (gf)(1)\left(g\circ f\right)\left(1\right)  in simplest form.

a)

undefined

b)

-1

c)

0

d)

1