Find f(x) and g(x) such that h(x) = $(f \circ g)(x)$.
-$$h ( x ) = 5 x + 4 \mid$$
A) $f ( x ) = x , g ( x ) = 5 x + 4$
B) $f ( x ) = | - x | , g ( x ) = 5 x - 4$
C) $f ( x ) = | x | , g ( x ) = 5 x + 4$
D) $f ( x ) = - | x | , g ( x ) = 5 x + 4$

Question

Quizplus · Accepted Answer

The correct functions are $f(x) = |x|$ and $g(x) = 5x + 4$ because when $g(x)$ is applied first, it transforms $x$ into $5x + 4$, and then applying $f(x)$ takes the absolute value of that result, which is unnecessary here since $5x + 4$ is already in the desired form of $h(x) = 5x + 4$. The absolute value function does not alter the expression, making this combination the correct representation of $h(x)$.

Find F(x) and G(x) Such That H(x) = (f∘g)(x)(f \circ g)(x)(f∘g)(x)

Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$