Question

What has to be true for two functions to be the same?
f(x) = g(x) for all x? I mean f(x) = 1 and g(x) = x/x certainly have the same shape, but one has domain of R and the other has the domain of R\{0}

Answer 1

then they are not the same function

Answer 2

part of the definition of a function is the domain, as well as the action

Answer 3

thank you ^^