1. Ch 8.8: Inverse of Functions and Relations

2. Inverse Relations
Two sets are inverses of each other if the domain and range of each set is flipped
Ex: Write the inverse of {(2,3), (4, -7), (-5, 0)}
Inverse: {(3, 2), (-7, 4), (0, -5)}

3. Inverse Functions
Two functions are inverses of each other if their compositions in both directions equals “x”
Ex: Verify if f(x) = 3x – 4 is an inverse of
YES!

4. Find the Inverse of a function
Change the term f(x) to y (they mean the same)
Flip the spots of “x” and “y”
Solve this new equation for “y”
Change “y” to f-1(x)
Ex: Find the inverse of f(x) = 3x + 6