Question

how do u find points and domains of discontuity

Answer 1

where the derivative does not exist.

Answer 2

Derivatives? That's useful when you're trying to find differentiable points. Discontinuity is when the limit is not equal to the actual function output. That is:\[ \large
\lim_{x\rightarrow a} f(x) \neq f(a)
\]

Answer 3

Generally, you will find discontinuity in places where the function has an asymptote, a jump, or a point that is undefined.

Answer 4

One thing to look for is when you have a denominator that could be 0, or a square root that could be non-positive.