Question

State the domain and range for the function.
f(x)=3cot(2x)

Answer 1

@coolsday

Answer 2

@NobodyOwens

Answer 3

We can ignore the coefficient 3.
The domain of cot(x) is All real numbers excluding nπ, where n i any whole number. For cot(2x) this becomes n(π/2)
In other words. cot(2x) exists everywhere except for multiples of π/2, such as
0,π/2, π, 3 π/2 etc...
The range for tan and cot is (-inf, inf)