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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; {x|x ≠ }D.(f - g)(x) = 12x - 10; {x|x ≠ 1}

Respuesta :

[tex]\begin{gathered} f(x)=8x-2 \\ g(x)=4x-8 \end{gathered}[/tex]

Subtracting both functions we have

[tex]\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}[/tex]

The domain of f-g are all real numbers

The answer is the letter A

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