f(x)=x+7
g(x)=1/(x-13)
Domain (f*g)(x)=?
(f*g)(x)=f(x)*g(x)=(x+7)*[1/(x-13)]→(f*g)(x)=(x+7)/(x-13)
(f*g)(x) is a rational function, then the denominator must be different of zero:
x-13
≠ 0
x-13 +13≠ 0+13
x ≠ 13
Then:
Domain (f*g)(x)=R-{13}=(-Infinite, 13) U (13, Infinite)
R: All the real numbers
