Question

Given that:f(x) = |7x -1| -8g(x) = -2 Find (f -g)(x).

Answer 1

(D)(f-g)(x)=|7x-1|-6

Step-by-step explanation:

Given the functions f(x) and g(x) defined as follows:

`\begin{gathered} f\mleft(x\mright)=|7x-1|-8 \\ g\mleft(x\mright)=-2 \end{gathered}`

We want to find the expression (f-g)(x).

`\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}`

The correct choice is D.