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Worksheets

Functions - 9THA

Total questions: 21

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Given g(x) = 4x - 7, find g(-9).

a)

g(-9) = 29

b)

g(-9) = -43

c)

g(-9) = 43

d)

g(-9) = -29

2.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

3.
If h(a) = 3 - 2x2, find h(-3).
a)
33
b)
21
c)
39
d)
-15
4.
a)

A

b)

B

c)

C

d)

D

5.
a)

A

b)

B

c)

C

d)

D

6.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
7.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

8.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
a)
-14
b)
20
c)
6
d)
7
9.
a)

36

b)

72

c)

27

d)

54

10.
a)

-1

b)

1

c)

7

d)

-7

11.
a)

A

b)

B

c)

C

d)

D

12.

If f(x) = x2 and g(x) = 3x - 1, find f(g(x))

a)

9x2 - 6x + 1

b)

3x - 1

c)

3x2 - 1

d)

9x2 - 1

13.
Given 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
14.

If f(x)=x+5, what is f-1(x)?

a)

(x + 5)2

b)

x - 5

c)

(x + 5)-1

d)

undefined

15.

If f(x)=3x, what is f-1(x)?

a)

x/3

b)

3x2

c)

3x + 3x

d)

3x-1

16.
a)

A

b)

B

c)

C

d)

D

17.

Find the inverse of  f(x)=x53f(x)=\frac{x-5}{3}  

a)

f1(x)=35+xf^{-1}(x)=\frac{3}{5}+x

b)

f1(x)=3x+5f^{-1}(x)=3x+5

c)

f1(x)=5x+3f^{-1}(x)=5x+3

18.

Find the inverse of  f(x)=10+7xf(x)=10+7x  

a)

f1(x)=x710f^{-1}(x)=\frac{x-7}{10}

b)

f1(x)=x107f^{-1}(x)=\frac{x-10}{7}

c)

f1(x)=110+7xf^{-1}(x)=\frac{1}{10+7x}

19.
a)

A

b)

B

c)

C

d)

D

20.
a)

A

b)

B

c)

C

d)

D

21.

Given:

f(x) = -3x + 7

g(x) = 2x2 - 8

Find f(g(x))

a)

18x2 - 84x + 6

b)

6x2 + 24

c)

-6x3 + 14x2 - 24x - 56

d)

-6x2 + 31