Question

Find the domain of the function y = 3 tan(2/3x)

Answer 1

Answer:

{x∈R | $\frac{2x}{3\pi } +\frac{1}{2}$, x∉Z}

Step-by-step explanation:

Given the function y=3tan(2/3x)

We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers

Also, the roots of y=3tan(2/3x) is $3\pi n/2$ where n is an integer

Note that the domain of the function cannot be within $3\pi n/2$

Therefore, {x∈R | $\frac{2x}{3\pi } +\frac{1}{2}$, x∉Z}