Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$
-$$h ( x ) = | 2 x + 2 |$$
A) $f ( x ) = - | x | , g ( x ) = 2 x + 2$
B) $f ( x ) = x , g ( x ) = 2 x + 2$
C) $f ( x ) = | x | , g ( x ) = 2 x + 2$
D) $f ( x ) = | - x | , g ( x ) = 2 x - 2$

Question

Quizplus · Accepted Answer

The correct choice is C because $f(x) = |x|$ and $g(x) = 2x + 2$ satisfy the condition $(f \circ g)(x) = f(g(x)) = f(2x + 2) = |2x + 2| = h(x)$.

Consider the Function H as Defined (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x)

Consider the Function H as Defined $( f \circ g ) ( x ) = h ( x )$