Answer
(a) $81$, $(4,81)$.
(b) $-2$, $(-2,\frac{1}{9})$.
Work Step by Step
(a) Given $f(x)=3^x$, we have $f(4)=3^4=81$ which gives point $(4,81)$.
(b) $\frac{1}{9}=3^x$, thus $x=-2$ which gives point $(-2,\frac{1}{9})$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 307: 92
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