Find functions f and g so that h(x) $$h ( x ) = ( f \circ g ) ( x )$$
-$$h ( x ) = | 3 x + 1 |$$
A) $f ( x ) = | x | , g ( x ) = 3 x + 1$
B) $f ( x ) = - | x | , g ( x ) = 3 x + 1$
C) $f ( x ) = | - x | , g ( x ) = 3 x - 1$
D) $f ( x ) = x , g ( x ) = 3 x + 1$

Question

Quizplus · Accepted Answer

The correct choice is A because $f(x) = |x|$ and $g(x) = 3x + 1$ satisfy the given composition $h(x) = |3x + 1|$. Here, $g(x)$ transforms $x$ into $3x + 1$, and then $f(x)$ takes the absolute value of that result, exactly as described by $h(x)$.

Find Functions F and G So That H(x) h(x)=(f∘g)(x)h ( x ) = ( f \circ g ) ( x )h(x)=(f∘g)(x)

Find Functions F and G So That H(x) $h ( x ) = ( f \circ g ) ( x )$