Find $f \circ g$ . $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$
A) $x ^ { 2 }$
B) $( x - 2 ) ^ { 2 }$
C) $( x + 2 ) ^ { 2 }$
D) $\left( x ^ { 2 } - 2 \right)$
E) $\left( x ^ { 2 } + 2 \right)$

Name: Find $f \circ g$ . $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$ A) $x ^ { 2 }$ B) $( x - 2 ) ^ { 2 }$ C) $( x + 2 ) ^ { 2 }$ D) $\left( x ^ { 2 } - 2 \right)$ E) $\left( x ^ { 2 } + 2 \right)$
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Question

Find $f \circ g$ .​ $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$ ​
A) $x ^ { 2 }$
B) $( x - 2 ) ^ { 2 }$
C) $( x + 2 ) ^ { 2 }$
D) $\left( x ^ { 2 } - 2 \right)$
E) $\left( x ^ { 2 } + 2 \right)$

Quizplus · Accepted Answer

The composition $f \circ g$ means applying $g$ first and then $f$. So, $f(g(x)) = f(x-2) = (x-2)^2$.

Find f∘gf \circ gf∘g ​ f(x)=x2,g(x)=x−2f ( x ) = x ^ { 2 } , g ( x ) = x - 2f(x)=x2,g(x)=x−2

Find $f \circ g$ $f ( x ) = x ^ { 2 } , g ( x ) = x - 2$