College Algebra / Unit 5 Alg 293 short lesson, about 20 seconds
Inverse Functions
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The idea
The inverse of a one-to-one function reverses its inputs and outputs: f⁻¹(y) = x exactly when f(x) = y, and only one-to-one functions have inverses.
In practice
For f(x) = 2x + 3, the inverse is f⁻¹(x) = (x − 3)/2: where f sends 4 to 11, f⁻¹ sends 11 home to 4.
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