Key Concept 2.

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Presentation transcript:

Key Concept 2

Determine whether f has an inverse function for Determine whether f has an inverse function for . If it does, find the inverse function and state any restrictions on its domain. A. B. C. D. f –1(x) does not exist. Example 2

Key Concept 3

Show that f [g (x)] = x and g [f (x)] = x. Verify Inverse Functions Show that f [g (x)] = x and g [f (x)] = x. Example 3

Show that f (x) = x 2 – 2, x  0 and are inverses of each other. B. C. D. Example 3

Use the graph of relation A to sketch the graph of its inverse. Find Inverse Functions Graphically Use the graph of relation A to sketch the graph of its inverse. Example 4

Find Inverse Functions Graphically Graph the line y = x. Locate a few points on the graph of f (x). Reflect these points in y = x. Then connect them with a smooth curve that mirrors the curvature of f (x) in line y = x. Answer: Example 4

Use the graph of the function to graph its inverse function. B. C. D. Example 4