Question

Does g(x)=(x-5)/x have a 5 in its domain?

Answer 1

no, you would have to solve for x to find the domain

Answer 2

G(X) = (X - 5)/X

Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator

Formalizing the domain of this function: D = {X / X ≠ 0}

(for the sake of information, when X tends to zero, the function tends to +∞)