Express the given function as a composite of functions f and g such that y $$y = f ( g ( x ) )$$
-$$y = | 7 x + 4 |$$
A) $f ( x ) = x , g ( x ) = 7 x + 4$
B) $f ( x ) = - | x | , g ( x ) = 7 x + 4$
C) $f ( x ) = | - x | , g ( x ) = 7 x - 4$
D) $f ( x ) = | x | , g ( x ) = 7 x + 4$

Question

Quizplus · Accepted Answer

We can express the given function as $y = |7x+4| = f(g(x))$ where $g(x) = 7x+4$ and $f(x) = |x|$. Therefore, the correct choice is D, where $f(x) = |x|$ and $g(x) = 7x+4$.

Express the Given Function as a Composite of Functions F y=f(g(x))y = f ( g ( x ) )y=f(g(x))

Express the Given Function as a Composite of Functions F $y = f ( g ( x ) )$