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f(x)=2^(x-4)

g(x)=(5)/(x)
Evaluate.

g(f(2))=

$f(x)=2^{x-4}$ $\newline$ $g(x)=\frac{5}{x}$ $\newline$ Evaluate. $\newline$ $g(f(2))=$

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Evaluate exponential functions

Full solution

Q.

f(x)=2^{x-4}

\newline

g(x)=\frac{5}{x}

\newline

Evaluate.

\newline

g(f(2))=

Evaluate $f(2)$ : Evaluate $f(2)$ . $\newline$ Substitute $2$ for $x$ in $f(x) = 2^{(x-4)}$ . $\newline$ f( $2$ ) = $2^{(2-4)}$ $\newline$ Calculate the exponent. $\newline$ f( $2$ ) = $2^{-2}$ $\newline$ Evaluate the power of $2$ . $\newline$ f( $2$ ) = $\frac{1}{2^2}$ $\newline$ f( $2$ ) = $\frac{1}{4}$
Calculate $f(2)$ : Evaluate $g(f(2))$ . $\newline$ Substitute $f(2)$ into $g(x)$ . $\newline$ $g(f(2)) = g(\frac{1}{4})$ $\newline$ $g(x) = \frac{5}{x}$ $\newline$ Substitute $\frac{1}{4}$ for $x$ in $g(x)$ . $\newline$ $g(\frac{1}{4}) = \frac{5}{(\frac{1}{4})}$ $\newline$ Calculate the division. $\newline$ $g(f(2))$ $0$ $\newline$ $g(f(2))$ $1$

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