Inverse and Composition of Functions

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

What is the equation that the inverse will reflect across?

• y = x
• y = 0
• x = 0
• Potato

Tags

CCSS.HSF-BF.B.4B

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

If f(4) = 5, then f^-1(5) = ?

• 4
• -5
• 5
• -4

Tags

CCSS.HSF-BF.B.4C

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF-BF.B.4A

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

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A

Are these functions inverses of each other?

• Yes
• No

Tags

CCSS.HSF-BF.B.4B

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3
• f^-1 = (x − 4)² + 3,  x ≥ 4
• f^-1 = (x + 3)² − 4
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

Find the inverse of the function including any restriction on domain

• f^-1 = x³ − 5, x ≥ 5
• f^-1 = x³ + 5,  x ≥ 0
• f^-1 = x³ + 5
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4D