Question

For the given functions f and g, find the requested function and state its domain.f(x) = 8x - 2; g(x) = 4x - 8Find f - g.A.(f - g)(x) = 4x + 6; all real numbersB.(f - g)(x) = -4x - 6; all real numbersC.(f - g)(x) = 4x - 10; xD.(f - g)(x) = 12x - 10; x

Answer 1

`\begin{gathered} f(x)=8x-2 \\ g(x)=4x-8 \end{gathered}`

Subtracting both functions we have

`\begin{gathered} (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=(8x-2)-(4x-8) \\ (f-g)(x)=8x-4x-2+8 \\ (f-g)(x)=4x+6 \end{gathered}`

The domain of f-g are all real numbers

The answer is the letter A