1. 7.7 Inverse Relations and Functions

2. An inverse relation “undoes” the relation and switches the x and y coordinates.
In other words, if the relation has coordinates (a, b), the inverse has coordinates of (b,a)
Function f(x)
Inverse of Function f(x) X Y 3 1 4 -3 -5 2 5 -8 X Y 3 4 1 -3 2 -5 5 -8

3. Finding the Inverse of an equation
Find the inverse of y=x2+3
x=y2+3
x – 3 = y2
Switch the x and y
Solve for y
Find the square root of both sides

4. Finding the Inverse of a function
When we find the inverse of a function f(x) we write it as f-1
Find the inverse of
Rewrite using y
Switch the x and y
Square both sides
Solve for y

5. Let’s Try Some
Find the inverse of each

6. Composition of Inverse Functions
For the function

7. Composition of Inverse Functions
Check to see if these two functions are inverses of each other.