Free Printable Quiz #2 U1: Composition, Inverses and Piecewise Functions

1.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

2.

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

3.

p(x) = 3x + 4 q(x) = 2x² Find (p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

d)

2x² + 3x + 4

4.

f(x) = -2x + 3
g(x) = -3x² - 1
Find f(g(5))

a)

155

b)

-148

c)

-7

d)

-76

5.

What is f(4)?

a)

-5

b)

0

c)

3

d)

6

6.

What is g(4)?

a)

-3/2

b)

0

c)

4

d)

16

7.

$y\ =\ \left(x+2\right)^2-6$ Find the inverse of this equation.

a)

$\sqrt{x+6}=\ y$

b)

$\sqrt{x+6}-2\ =\ y$

c)

$y\ =\ x^2+6$

d)

$x\ =\ \left(y+2\right)^2-6$

8.

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)

9.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

10.

What is the inverse of the points (1,3)(2,4)(6,2)

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

11.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

12.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

13.

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

a)

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

b)

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

c)

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

Quiz #2 U1: Composition, Inverses and Piecewise Functions

Total questions: 13

Worksheet time: 1hrs 16mins

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