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Let $f(x)=5^{x}$ and $g(x)=x^{2}+1$ . $\newline$ What is the value of $g(f(1)-2)$ ?

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Solve one-step multiplication and division equations: word problems

Full solution

Q. Let

f(x)=5^{x}

and

g(x)=x^{2}+1

.

\newline

What is the value of

g(f(1)-2)

?

Calculate $f(1)$ : Calculate the value of $f(1)$ . $f(x) = 5^{x}$ , so $f(1) = 5^{1}$ . Calculate $5^{1}$ . $5^{1} = 5$ .
Subtract from $f(1)$ : Subtract $2$ from the result of $f(1)$ . We have $f(1) = 5$ from Step $1$ . Now calculate $f(1) - 2$ . $5 - 2 = 3$ .
Calculate $g(x)$ : Calculate the value of $g(x)$ when $x = 3$ . $\newline$ $g(x) = x^{2} + 1$ , so $g(3) = 3^{2} + 1$ . $\newline$ Calculate $3^{2}$ and then add $1$ . $\newline$ $3^{2} = 9$ , and $9 + 1 = 10$ .
Conclude final answer: Conclude the final answer. $\newline$ The value of $g(f(1)-2)$ is $g(3)$ , which we calculated as $10$ in Step $3$ .

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