Ch 8.8: Inverse of Functions and Relations

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Ch 8.8: Inverse of Functions and Relations

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)}

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!

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