Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 337: 42

Answer

a. See graph below b. See explanation below

Work Step by Step

a. It justs asks for a graph of $f(x) = 9^{\frac{x}{2}}$ and $g(x) = 3^x$ Graph is attached below, but there is only one color present because both graphs are the same function! b. $f(x) = 9^{\frac {x}{2}} = 3^{(2 * \frac{x}{2})}$ Laws of exponents: $9 = 3^2$, you can multiply powers with the same base Thus $f(x) = 3^x$
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