Free Printable Function Composition

1.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

2.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

3.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

4.

When h is defined by $h\left(x\right)=\frac{1}{x+3}$ . If h can be formed by the composition of the functions f and g such that h(x)=g(f(x)), which of the following could be used to define f and g.

a)

b)

c)

d)

5.

if h(x)=f(g(x)) and f(x)=x+3 and g(x)=x+2. Graph h(x)

6.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=4x+3$ ,

Find $\left(g\circ f\right)\left(x\right)$ in simplest form.

a)

16x+15

b)

20x+31

c)

25x + 42

d)

20x+22

7.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

a)

44

b)

-40

c)

-30

d)

-28

8.

When $f(x)=x^2+9$ and $g(x)=x-9$ , find $f(x)-g(x)$

a)

$x^2+x+9$

b)

$x^2-x+9$

c)

$x^2-x$

d)

$x^2-x+18$

9.

$g\left(f\left(2\right)\right)$

a)

5

b)

3

c)

-1

d)

2

10.

a)

5

b)

25

c)

√23

d)

31

Function Composition

Total questions: 10

Worksheet time: 1hrs 1mins

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