Chapter 1: Lesson 1.9 Inverse Functions

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Presentation transcript:

Chapter 1: Lesson 1.9 Inverse Functions Finding the inverse of a function Switch x → y and y → x Solve for y

Verifying Inverse Functions Algebraically

Verifying Inverse Functions Graphically 2 functions are inverses of each other if the 2 functions are symmetric about the line y = x. See page 86. Another way to check is that if (x, y) exists on f(x), then (y, x) should exist on the inverse function. See #18 on page 90

Horizontal Line Test The inverse of a relation is a function if no horizontal line intersects the relation at more than 1 point. Determine whether the function has an inverse function. If it does, then find the inverse function.