Free Printable Composite Function

1.

Let $f\left(x\right)\ =\ 2x\$ and $g\left(x\right)\ =\ x\ +\ 7$
What is $f\left(g\left(5\right)\right)\ =\ ?$

a)

17

b)

24

c)

12

d)

10

2.

Let $f\left(x\right)\ =\ \frac{x^2}{x}$ ,
What is $f\left(9\right)\ =\ ?$

a)

2

b)

7

c)

3

d)

9

3.

Let $f\left(x\right)\ =\ x\ +\ 14$
and
$g\left(x\right)\ =\ 3x\ +\ 7$

What is $f\left(g\left(x\right)\right)$ = ?

a)

$\left(3x\ +\ 7\right)\ +\ 14$

b)

$3\left(x\ +\ 14\right)\ +\ 7$

c)

$3x\ +x\ +\ 14\ +7$

d)

$2x\ -7$

4.

Which of these are a composite function?

a)

$f\left(x\right)$

b)

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

c)

$g\left(x\right)$

d)

$f\left(2\right)$

5.

Let $f\left(x\right)\ =\ x^2$ and $g\left(x\right)\ =\ 3x$

What is $f\left(f\left(5\right)\right)$ = ?

a)

625

b)

75

c)

225

d)

45

6.

Let $f\left(x\right)\ =\ 4x^2\ +\ 3$

What is $f\left(3\right)$ = ?

a)

27

b)

32

c)

147

d)

39

7.

Let $f\left(x\right)\ =\ 3x^2$
What is $f\left(-2\right)$

a)

12

b)

-12

c)

36

d)

7

8.

If $g\left(2\right)\ =\ 22$

What is

g\left(x\right)\

so that this is true?

a)

$g\left(x\right)\ =\ 3x$

b)

$g\left(x\right)\ =\ 7x\ +\ 5$

c)

$g\left(x\right)_{ }=\ 9x\ +4$

d)

$g\left(x\right)\ =\ 12x\ +1$

9.

Let $f\left(x\right)\ =\ 2x^2$

What is

f\left(5\right)

a)

20

b)

100

c)

10

d)

50

10.

Let $f\left(x\right)\ =\ 2x$ and $g\left(x\right)\ =\ 3x\ +2$

What is $f\left(g\left(7\right)\right)$ ?

a)

46

b)

44

c)

28

d)

71

Composite Function

Total questions: 10

Worksheet time: 33mins

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