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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 $f(x)=3 x-1$ 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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Unions and intersections of sets

Full solution

Q. If

f(x)=3 x-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 $f(3)$ : Given the functions $f(x) = 3x - 1$ and $g(x) = x^2 + 1$ , we first need to find the value of $f(3)$ .
$f(x) = 3x - 1$
$f(3) = 3(3) - 1$
$f(3) = 9 - 1$
$f(3) = 8$
Substitute $f(3)$ into $g(x)$ : Now that we have $f(3) = 8$ , we need to find the value of $g(f(3))$ , which means we need to substitute $x$ in $g(x)$ with the value of $f(3)$ .
$g(x) = x^2 + 1$
$g(f(3)) = g(8) = 8^2 + 1$
$g(f(3)) = 64 + 1$
$g(f(3)) = 65$

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