Find Where Undefined/Discontinuous y = square root of x-2

Set the radicand in ${\displaystyle \sqrt{x-2}}$ less than ${\displaystyle 0}$ to find where the expression is undefined.

Add ${\displaystyle 2}$ to both sides of the inequality.

The equation is undefined where the denominator equals ${\displaystyle 0}$, the argument of a square root is less than ${\displaystyle 0}$, or the argument of a logarithm is less than or equal to ${\displaystyle 0}$.