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