Composition and Inverse Function

Q1. What is the value of x in the equation 9 - √17 = x?

• A) 9 - √17

• B) 4

• C) 2

• D) √8

Tags

CCSS.HSF-BF.A.1C

• -1
• 1
• -1/3
• -5/3

Tags

CCSS.HSF-BF.A.1C

• A.
• B.
• C.
• D.

Tags

CCSS.HSF-BF.B.4A

• A.
• B.
• C.
• D.

Tags

CCSS.HSF-BF.B.4A

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

When solving f(g(x)) you work in what order?

• Left to right

• Alphabetical

• INSIDE then OUT

• It doesn't matter what you solve first, just pick your favorite letter.

Tags

CCSS.HSF-BF.A.1C

Let

f(x) = 3x + 10

g(x) = x - 2

Evaluate f(g(0))

• 16

• 4

• -4

• None of these.

Answer explanation

g(0)= (0) -2= -2

f(-2)= 3(-2) + 10

= -6+10

= 4

Tags

CCSS.HSF-BF.A.1C

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

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C