Find functions f and g so that f $f \circ g = H$
-$$H ( x ) = | 9 x + 3 |$$
A) $f ( x ) = | - x | ; \quad g ( x ) = 9 x - 3$
B) $f ( x ) = - | x |$; $g ( x ) = 9 x + 3$
C) $f ( x ) = x ; g ( x ) = 9 x + 3$
D) $f ( x ) = | x | ; \quad g ( x ) = 9 x + 3$

Question

Quizplus · Accepted Answer

The correct functions are $f(x) = |x|$ and $g(x) = 9x + 3$. When $g$ is applied to $x$, it gives $9x + 3$, and then applying $f$ to this result, $|9x + 3|$, gives the function $H(x)$.

Find Functions F and G So That F f∘g=Hf \circ g = Hf∘g=H

Find Functions F and G So That F $f \circ g = H$