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Use the following function rule to find $f(0)$ . $\newline$ $f(x) = 6(6)^x + 2$ $\newline$ $f(0) = \underline{\hspace{3em}}$

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Evaluate exponential functions

Full solution

Q. Use the following function rule to find

f(0)

.

\newline

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

\newline

f(0) = \underline{\hspace{3em}}

Identify Function: Identify the function which represents $f(0)$ . $\newline$ Substitute in $0$ for $x$ in $f(x) = 6(6)^x + 2$ . $\newline$ $f(0) = 6(6)^0 + 2$
Substitute in $0$ : Evaluate $6(6)^0$ . $\newline$ Since any number raised to the power of $0$ is $1$ , we have: $\newline$ $6(6)^0$ $\newline$ = $6 \times 1$ $\newline$ = $6$
Evaluate Expression: $f(0) = 6 + 2$ $\newline$ Determine the value of $f(0)$ . $\newline$ $f(0) = 6 + 2$ $\newline$ $f(0) = 8$

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