Inverse Functions, Composition of Functions

Find the inverse of
f(x) = -3x + 3

• f^-1(x) = -3x + 1

• f^-1(x) = -1/3x + 1

• f^-1(x) = -1/3x - 1

• f^-1(x) = 1/3x + 1

Tags

CCSS.HSF-BF.B.4A

Was the inverse function found correctly?

• no

• yes

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

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

• True

• False

Tags

CCSS.HSF-BF.B.4B

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

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

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

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

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

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