Question

SOMEONE PLEASE HELP ME WITH THIS.

Answer 1

If the function is defined for all $x \neq m$, it means that $m$ is a point who doesn't belong to the domain of the function.

Now, since your function is a ratio, you can't have zero denominator. So, if a point nullifies the denominator, it can't belong to the function domain.

In your case, the denominator is $x-2$, which is zero when

$x-2=0\iff x=2$

So, this function can't be evaluated at $x=2$, and in other words, the function is defined when $x \neq 2$, so that's the value for $m$.