Inverse Functions

How do you find the inverse of a function?

• Switch the x- and y-values.

• Divide the x- and y-values by 2.

• Make the x- and y-values negative.

• Keep the same x- and y-values.

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

• f ^-1(x)

• f ²(x)

• f '(x)

• f ^INV(x)

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)

If f(x) passes through (-1, 4) and (4, 6), which points does f^-1(x) pass through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, -1) and (6, 4)

If f^-1(-25) = 7, then f(7) = ____.

• 25

• 7

• No enough information. 

• -25

Which table shows the inverse of this table?

• 
• 
• 
• 

Are these the graphs of two inverse functions?

• Yes

• No

• Not enough information.

When finding the inverse of a relation,  first replace f(x) with y.

Then switch the x- and y-values.

What is the next step?

• Solve for y.

• Replace y

  with f¹(x).

• Solve for x.

• Find the Greatest Common Factor.

What is the first step in solving this equation for x?

• Add 9 to both sides.

• Take the square root of both sides.

• Divide both sides by 49.

• Multiply both sides by 9.

Are the following inverses of each other?

Show work on paper.

• True

• False