# Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 41

Since g(f(x)) = f(g(x)), f and g are inverses of each other

#### Work Step by Step

g(f(x)) = g($\frac{1}{x}$) = $\frac{1}{\frac{1}{x}}$ =x f(g(x)) = f($\frac{1}{x}$) = $\frac{1}{\frac{1}{x}}$ =x Since g(f(x)) = f(g(x)), f and g are inverses of each other

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