Answer:
(D)(f-g)(x)=|7x-1|-6
Explanation:
Given the functions f(x) and g(x) defined as follows:
[tex]\begin{gathered} f\mleft(x\mright)=|7x-1|-8 \\ g\mleft(x\mright)=-2 \end{gathered}[/tex]
We want to find the expression (f-g)(x).
[tex]\begin{gathered} \mleft(f-g\mright)\mleft(x\mright)=f(x)-g(x) \\ =|7x-1|-8-(-2) \\ =|7x-1|-8+2 \\ (f-g)(x)=|7x-1|-6 \end{gathered}[/tex]
The correct choice is D.
