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Use the following function rule to find $f(3)$ . $\newline$ $f(x) = 9^x + 2$ $\newline$ $f(3) =$ _____

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Evaluate exponential functions

Full solution

Q. Use the following function rule to find

f(3)

.

\newline

f(x) = 9^x + 2

\newline

f(3) =

_____

Identify Function: Identify the function which represents $f(3)$ . $\newline$ Substitute in $3$ for $x$ in $f(x) = 9^x + 2$ . $\newline$ $f(3) = 9^3 + 2$
Substitute in $3$ : Evaluate $9^3$ . $\newline$ $9^3$ $\newline$ = $9 \times 9 \times 9$ $\newline$ = $81 \times 9$ $\newline$ = $729$
Evaluate $9^3$ : $f(3) = 729 + 2$ $\newline$ Determine the value of $f(3)$ . $\newline$ $f(3) = 729 + 2$ $\newline$ $f(3) = 731$

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