Question

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

Answer 1

{x∈R |
`(2x)/(3\pi ) +(1)/(2)`, x∉Z}

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 |
`(2x)/(3\pi ) +(1)/(2)`, x∉Z}