Free Printable Functions- operations, composition, inverse

1.

a)

9 - √17

b)

4

c)

2

d)

√8

2.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

3.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

4.

a)

TRUE

b)

FALSE

5.

If f^-1(-25) = 7 then what is f(7) =

a)

25

b)

7

c)

No enough information.

d)

-25

6.

If the domain of f(x) is x ≥ 4, then the ____ of ____ is y ≥ 4

a)

domain, f^-1(x)

b)

range, f(x)

c)

range, f^-1(x)

d)

domain, f(x)

7.

Which is f^-1(x)?

a)

f^-1(x)=4(x+3)³

b)

f^-1(x)=(4x+12)³

c)

f^-1(x)=3+1/4(x)³

d)

f^-1(x)=1/4(x+3)³

8.

FInd the inverse of the function.
$f\left(x\right)=\frac{3x-15}{2}$

a)

$f^{-1}\left(x\right)=-x-5$

b)

$f^{-1}\left(x\right)=3x+5$

c)

$f^{-1}\left(x\right)=\frac{15+2x}{3}$

d)

$f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$

9.

Find f(2).

a)

-2

b)

-18

c)

24

d)

6

10.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

11.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

12.

When f(x) = 9-3x and g(x) = 5x-7 , find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

13.

When f(x) = x²+9 and g(x) = x-9, find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

14.

a)

A

b)

B

c)

C

d)

D

15.

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for f(x)/g(x)?

a)

no restrictions

b)

x ≠ -4

c)

x ≠ 4

d)

x ≠ 0

16.

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

a)

39

b)

-27

c)

-23

d)

-19

17.

$If\ f\left(x\right)=\ \ 2x\ +\ 1\ and\ h\left(x\right)=3x+2,$

find\ \left(f\circ h\right)\left(x\right).

a)

$f\left(h\left(x\right)\right)=5x+3$

b)

$f\left(h\left(x\right)\right)=6x+5$

c)

$f\left(h\left(x\right)\right)=6x+2$

d)

$f\left(h\left(x\right)\right)=x+1$

18.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

19.

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

a)

3x³ - 10x² - 7x - 4

b)

3x³ - 14x² + 9x - 4

c)

3x² - x - 3

d)

3x³ + 14x² - 9x - 4

20.

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

Functions- operations, composition, inverse

Total questions: 20

Worksheet time: 2hrs 49mins

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