Question

What are the removable and non-removable discontinuities, if any, of `f(x)=(x^2 - 9x -10) /( 2x^2 - 2)`?

Answer 1

Simplify ...

Explanation:

`f(x)=[(x-10)(x+1)]/(2(x+1)(x-1))`

So, `(x+1)` will cancel and will be a removable discontinuity.

`f(x)=[(x-10)]/(2(x-1))`

However, `(x-1)` is a non-removable discontinuity.

hope that helped