Inverses of Linear Functions

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

Are these inverse functions?

• yes
• no
• no way to tell

are these inverse functions?

• no
• yes
• no way to tell

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)

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

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

What is the equation that the inverse will reflect across?

• y = x
• y = 0
• x = 0
• Potato

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