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If
f(x)=3x-1 and
g(x)=x^(2)+1, what is the value of
g(f(3)) ?
Choose 1 answer:
(A) 8
(B) 10
(C) 29
(D) 65

If $f(x)=3x-1$ and $g(x)=x^{2}+1$ , what is the value of $g(f(3))$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $8$ $\newline$ (B) $10$ $\newline$ (C) $29$ $\newline$ (D) $65$

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Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. If

f(x)=3x-1

and

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

, what is the value of

g(f(3))

?

\newline

Choose

1

answer:

\newline

(A)

8

\newline

(B)

10

\newline

(C)

29

\newline

(D)

65

Find $f(3)$ : First, we need to find the value of $f(3)$ by substituting $x$ with $3$ in the function $f(x)$ .
$f(x) = 3x - 1$
$f(3) = 3(3) - 1$
$f(3) = 9 - 1$
$f(3) = 8$
Calculate $g(f(3))$ : Now that we have $f(3) = 8$ , we need to find the value of $g(f(3))$ by substituting $f(3)$ into the function $g(x)$ .
$g(x) = x^2 + 1$
$g(f(3)) = g(8) = 8^2 + 1$
$g(f(3)) = 64 + 1$
$g(f(3)) = 65$

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