Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x).
-$$h ( x ) = | 3 x + 4 |$$
A) $f ( x ) = | - x | , g ( x ) = 3 x - 4$
B) $f ( x ) = | x | , g ( x ) = 3 x + 4$
C) $f ( x ) = x , g ( x ) = 3 x + 4$
D) $f ( x ) = - | x | , g ( x ) = 3 x + 4$

Question

Quizplus · Accepted Answer

The correct choice is B because $f(x) = |x|$ and $g(x) = 3x + 4$ satisfy the condition that when g is applied to x and then f is applied to the result, it equals $|3x + 4|$, which is h(x).

Consider the Function H as Defined h(x)=∣3x+4∣h ( x ) = | 3 x + 4 |h(x)=∣3x+4∣

Consider the Function H as Defined $h ( x ) = | 3 x + 4 |$