3.5 - Linear Inverses

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.HSF-BF.B.4A

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

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

Are these the graphs of two inverse functions?

• Yes
• No
• No way to tell

Tags

CCSS.HSF-BF.B.4C

• A.
• B.
• C.
• D.

Are these functions inverses?

• Yes
• No
• No way to tell

Tags

CCSS.HSF-BF.B.4B

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function f(x) = 2x-5

• f⁻¹(x) = ½x+5
• f⁻¹(x) = ½x+⁵/₂
• f⁻¹(x) = x+⁵/₂
• f⁻¹(x) = ½x-⁵/₂

Tags

CCSS.HSF-BF.B.4A

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

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

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

Tags

CCSS.HSF-BF.B.4C