Respuesta :

Remember that [tex](g-f)(x)[/tex] is [tex]g(x)-f(x)[/tex]. We know form our problem that [tex]f(x)=4-x^2[/tex] and [tex]g(x)=6x[/tex], so:
[tex](g-f)(x)=g(x)-f(x)[/tex]
[tex](g-f)(x)=6x-(4-x^2)[/tex]
[tex](g-f)(x)=6x-4+x^2[/tex]

Now, to find [tex](g-f)(3)[/tex], we just need to evaluate [tex](g-f)(x)[/tex] at 3. In other words, we are going to replace [tex]x[/tex] with 3:
[tex](g-f)(x)=6x-4+x^2[/tex]
[tex](g-f)(x)=6(3)-4+(3)^2[/tex]

We can conclude that the correct answer is C.6(3) – 4 + 3^2 

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