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An inverse function is a second function which undoes the work of the first one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist.
Inverse functions are functions that undo each other. In Example 1, use the equation solved for x to write the inverse of f by switching x and y. x = y − 3 — 2 y = x − 3 — 2 An inverse function can be denoted by f −1, read as “f inverse.” Because an inverse function switches the input and output values of the original function ...
Functions that undo each other are called inverse functions. In Example 1, you can use the equation solved for x to write the inverse of f by switching the roles of x and y. f(x) 2x original function g(x) x 3.
10.3 Practice - Inverse Functions. State if the given functions are inverses. 1) g(x) = x5. − −. 3. f(x) = 5√. − −. x 3. 3) f(x) = −x −1.
Find the inverse of each function. Then graph the function and its inverse. 17) . −1( x) = −5 x − 5. −1( 1 x) = + 1. x. −1( f x) = 3 − x + 1 2. g −1( x) = −3 x − 5. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
INVERSE FUNCTIONS. 1A1f(x) = x + 5Express the inverse function f–1 in the f. A2g(x) = x – 5Express the inverse function g–1 in the f. ...A3h(x) = 2xExpress the inverse function h–1 in the f. ..A4xf(x) = 3Express the inverse function f–1 in the f. B1. g(x) = 2x + 5. Find g–1(x)
10.1 Inverse Functions Objectives: • Decide whether a function is one-to-one and, if it is, find its inverse. • Use the horizontal line test to determine whether a function is one-to-one. • Find the equation of the inverse of a function. • Graph 𝑓−1 given the graph of 𝑓. By: Cindy Alder
