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9-5 Functions and Their Inverses To find the inverse of a function • Switch the x and y • Solve for y Holt Algebra 2 9-5 Functions and Their Inverses Example 1 Means the inverse of g(x) Holt Algebra 2 3 y x 4 9-5 Functions and Their Inverses Example 2 Means the inverse of g(x) Holt Algebra 2 y 9x 5 9-5 Functions and Their Inverses Example 2 Continued Step 1 Find the inverse. Rewrite the function using y instead of f(x). Switch x and y in the equation. Cube both sides. Simplify. Isolate y. Holt Algebra 2 y 1 x3 1 9-5 Functions and Their Inverses Check It Out! Example 2 Continued Step 1 Find the inverse. y = x3 – 2 Rewrite the function using y instead of f(x). x = y3 – 2 Switch x and y in the equation. x + 2 = y3 Add 2 to both sides of the equation. 3 3 3 x+2= y 3 x+2=y Holt Algebra 2 Take the cube root of both sides. Simplify. y 1 3 x 2