Question

Consider the functions: f=1/(2x-4) and g=2/(x-3);
Calculate f/g and find its Domain(f/g)

Answer 1

\[\frac{1}{2x-4}\div \frac{2}{x-3}=\frac{1}{2x-4}\times \frac{x-3}{2}\] is a start

Answer 2

as for the domain, you have to exclude the solutions to \(2x-4=0\) as well as \(x-3=0\)

Answer 3

yes that part i get. so the answer is (x-3)/4x-8

Answer 4

why excluding x-3=0 though, that's where i'm lost

Answer 5

x=2 would make the denominator vanish but why can't x be 3