Use $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$ to evaluate the expression $( f \circ g ) ( 2 )$ .
A) $31$
B) $14$
C) $39$
D) $11$
E) $114$

Name: Use $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$ to evaluate the expression $( f \circ g ) ( 2 )$ . A) $31$ B) $14$ C) $39$ D) $11$ E) $114$
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Quizplus · Accepted Answer

First, find $g(2) = 3 + 2(2)^2 = 3 + 8 = 11$. Then, apply $f$ to this result: $f(g(2)) = f(11) = 3(11) - 2 = 33 - 2 = 31$.

Use f(x)=3x−2f ( x ) = 3 x - 2f(x)=3x−2 And g(x)=3+2x2g ( x ) = 3 + 2 x ^ { 2 }g(x)=3+2x2

Use $f ( x ) = 3 x - 2$ And $g ( x ) = 3 + 2 x ^ { 2 }$