Question

How do you find the domain of `root3{(x + 2)/(x - 4)}`?

Answer 1

Domain: `x in RR: x!=4`

Explanation:

The function is defined for all real x except when `x=4`

Hence the domain of the function is : `x in RR: x!=4`

This can be seen on the graph of `f(x) = root3((x+2)/(x-4))` below:

graph{root3((x+2)/(x-4)) [-10, 10, -5, 5]}