Inverse Functions

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

Are these functions inverses?

• Yes
• No

Tags

CCSS.HSF-BF.B.4B

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

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

Are these functions inverses?

• No
• Yes
• No way to tell

Tags

CCSS.HSF-BF.B.4B

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x
• f(x)
• 1
• 0

Tags

CCSS.HSF-BF.B.4B

Which expression represents g(f(x)) if

f(x) = 2x - 8

and

g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Are these inverse functions?

• no
• yes
• 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