The function f(x) =2/x is one-to-one. For the function,a. Find an equation for f -1(x), the inverse function.b. Verify that your equation is correct by showing thatf( f -1(x)) = x and f -1( f(x)) = x.

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) =2/x is one-to-one. For the function,
a. Find an equation for f -1(x), the inverse function.
b. Verify that your equation is correct by showing that
f( f -1(x)) = x and f -1( f(x)) = x.

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