Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.1 Inverse Functions - 4.1 Exercises - Page 417: 47

Answer

No.

Work Step by Step

Use the definition of inverses, for $f(x)=\frac{2}{x+6}$ and $g(x)=\frac{6x+2}{x}$, we have: $f(g(x))=\frac{2}{\frac{6x+2}{x}+6}=\frac{2x}{6x+2+6x}=\frac{2x}{12x+2}\ne x$ Thus f and g are not inverses to each other.
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