Inverses

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

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

What is the inverse of the given coordinates?

(1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)

• (1, 2) (8, 3) (-3, 6)

• (-1, -2) (-3, -8) (3, -6)

• (2, 1) (8, 3) (6, -3)

What is the inverse of the given coordinates?

(1,3) (2,4) (6,8)

• (3,1) (4,2) (8,6)

• (-3,-1) (-4,-2) (-8,-6)

• (1,3) (2,4) (6,8)

• (-1,-3) (-2,-4) (-6,-8)

Are these graphs inverses of each other?

• Yes

• No

Are these the graphs of two inverse functions?

• Yes

• No

Are these functions inverses?

• Yes

• No

When finding the inverse of a function, which of the following in NOT one of the 4 steps?

• Solve for y

• Replace y with f^-1(x)

• Switch x and y

• Find the greatest common factor

Find the inverse of f(x) = 4x - 13

• $f^{-1}\left(x\right)=13x+4$

• $f^{-1}\left(x\right)=\frac{x+13}{4}$

• $f^{-1}\left(x\right)=-4x+13$

• $f^{-1}\left(x\right)=\frac{x+4}{13}$

are these inverse functions?

• Yes

• No