Inverse FunctionsUndoing a function, and the graph symmetry that reveals it.10th GradeAn inverse function reverses what the original did. Its graph is the reflection in y = x.1REPLACE f(x) WITH yJust notation, to make the swap readable.2SWAP x AND yThis is the actual inversion.3SOLVE FOR yRearrange until y is alone.4CHECKf(f⁻¹(x)) should give back x.WORKEDf(x) = 2x + 3 → y = 2x + 3 → x = 2y + 3y = (x − 3)/2, so f⁻¹(x) = (x − 3)/2f⁻¹ does not mean 1/f. It means the inverse function — a completelydifferent thing.Inverse Functionswww.littleactivity.com

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Math · 10th Grade

Inverse Functions

Undoing a function, and the graph symmetry that reveals it.

How to use it

Swap x and y, then solve for y. That is the entire procedure.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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