Question

Determine the intervals on which the given function is continuous:
f(x)={ x^2 + 3x -10 / x-2 , x Does not equal 2
10 , x=2

Answer 1

Would you mind presenting this f(x)={ x^2 + 3x -10 / x-2 in some other form, for greater clarity? Your expression has only one ' { ' ... where's the companion ' } ' ?

Which are you dividing by x-2: x^2 + 3x - 10, or just -10?

suggest y ou use Equation Editor, or the Draw utility, or just use parentheses so that there is no ambiguity regarding your intent.