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Use the following function rule to find $f(1)$ . $\newline$ $f(x) = 11(6)^x + 2$ $\newline$ $f(1) =$ _____

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Evaluate exponential functions

Full solution

Q. Use the following function rule to find

f(1)

.

\newline

f(x) = 11(6)^x + 2

\newline

f(1) =

_____

Identify Function: Identify the function which represents $f(1)$ . Substitute in $1$ for $x$ in $f(x) = 11(6)^x + 2$ . $f(1) = 11(6)^1 + 2$
Substitute in $1$ : Evaluate $11(6)^1$ . $\newline$ $11$ ( $6$ )^ $1$ $\newline$ = $11$ \times $6$ $\newline$ = $66$
Evaluate Expression: $f(1) = 66 + 2$ $\newline$ Determine the value of $f(1)$ . $\newline$ $f(1) = 66 + 2$ $\newline$ $f(1) = 68$

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