Finding (f * g)(x) and domain of (f * g)

[trip20]

Question: If F(x)=7/(x-4) and G(x)= 2/x, find (F*G)(X) and the domain of F*G?

What I have so far:

(F*G)(X) = F(G(X))

7/(2/x)-4

7/(2/x)-4 * x/x = 7x/2-4x <--- is that the answer???


Domain of F*G = ????? I have no idea?


Any assistance would be greatly appreciated.

 

[Unco]

Question: If F(x)=7/(x-4) and G(x)= 2/x, find (F*G)(X) and the domain of F*G?

What I have so far:

(F*G)(X) = F(G(X))

7/((2/x)-4)

7/((2/x)-4) * x/x = 7x/(2-4x) <--- is that the answer???

Yep, just remember the parentheses.

Domain of F*G = ????? I have no idea?

The domain of F*G is all those values of x for which F*G and G are defined. A function is not defined where its denominator is equal to zero.