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The function f(x)=x-2 is one-to-one. a. Find an equation for f the inverse function. b. Verify that your equation is correct by showing that f(f(x)) = x and f(f(x)) = x.

The function f(x)=x-2 is one-to-one. a. Find an equation for f the inverse function. b. Verify that your equation is correct by showing that f(f(x)) = x and f(f(x)) = x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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The function f(x)=x-2 is one-to-one. 1 a. Find an equation for f, the inverse function. b. Verify that your equation is correct by showing that f(f(x)) = x and f(f(x)) = x. UC. T (X)=, Tor x = D. f'(x)=√x+2, for all x b. Verify that the equation is correct f(f ¹(x)) = f( and f ¹ (f(x)) = f¹ 7 2000 Substitute. Simplify. 27
Transcribed Image Text:The function f(x)=x-2 is one-to-one. 1 a. Find an equation for f, the inverse function. b. Verify that your equation is correct by showing that f(f(x)) = x and f(f(x)) = x. UC. T (X)=, Tor x = D. f'(x)=√x+2, for all x b. Verify that the equation is correct f(f ¹(x)) = f( and f ¹ (f(x)) = f¹ 7 2000 Substitute. Simplify. 27
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