For the given functions f and g, find the requested composite function value.
-$$f ( x ) = 2 x + 2 , \quad g ( x ) = 2 x ^ { 2 } + 3 ; \quad \text { Find } ( f \circ f ) ( 0 )$$
A) 21
B) 8
C) 6
D) 11

Question

Quizplus · Accepted Answer

The composite function $f \circ f$ means applying function $f$ to the result of function $f$ applied to $x$. So, first, we find $f(0) = 2(0) + 2 = 2$. Then, we apply $f$ again to this result: $f(2) = 2(2) + 2 = 6$.

For the Given Functions F and G, Find the Requested f(x)=2x+2,g(x)=2x2+3; Find (f∘f)(0)f ( x ) = 2 x + 2 , \quad g ( x ) = 2 x ^ { 2 } + 3 ; \quad \text { Find } ( f \circ f ) ( 0 )f(x)=2x+2,g(x)=2x2+3; Find (f∘f)(0)

For the Given Functions F and G, Find the Requested $f ( x ) = 2 x + 2 , \quad g ( x ) = 2 x ^ { 2 } + 3 ; \quad \text { Find } ( f \circ f ) ( 0 )$