Question

What is the domain of `f(x)=tanx`?

Answer 1

The domain of `tan x` is all real numbers except `pi/2 + pin` where `n` is an integer. The graph of `tan x` is shown below:
graph{tan x [-10, 10, -5, 5]}
The graph of `tan x` has an asymptote at `pi/2`, and the period of the function is `pi`, meaning the asymptote repeats and the function is undefined every `pi` units in the x-direction.