Question

What is the domain of continuity of the function f(x)=tanx?​

Answer 1

Answer:

So the domain of f(x) := tanx is all real numbers except x = π 2 + kπ, k an integer.

Answer 2

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So the domain of f(x) := tanx is all real numbers except x = π 2 + kπ, k an integer. All of the trig functions are periodic and thus are not one-to-one.