Find $g \circ f$ . $f ( x ) = x ^ { 2 } , g ( x ) = x - 4$
A) $x ^ { 2 } - 4$
B) $x ^ { 2 }$
C) $( x - 4 ) ^ { 2 }$
D) $\left( x ^ { 2 } + 4 \right)$
E) $( x + 4 ) ^ { 2 }$

Question

​Find $g \circ f$ .​ $f ( x ) = x ^ { 2 } , g ( x ) = x - 4$ ​ ​
A) $x ^ { 2 } - 4$
B) $x ^ { 2 }$
C) $( x - 4 ) ^ { 2 }$
D) $\left( x ^ { 2 } + 4 \right)$
E) $( x + 4 ) ^ { 2 }$

Quizplus · Accepted Answer

To find $g \circ f$, you first apply $f$, then apply $g$ to the result of $f$. Applying $f(x) = x^2$, then $g(x) = x - 4$ to that result gives $g(f(x)) = (x^2) - 4$, which matches choice A.

​Find g∘fg \circ fg∘f ​ f(x)=x2,g(x)=x−4f ( x ) = x ^ { 2 } , g ( x ) = x - 4f(x)=x2,g(x)=x−4

Find $g \circ f$ $f ( x ) = x ^ { 2 } , g ( x ) = x - 4$