Question 1139251
Not much sense writing a function that way.  Meaning would be better shown as  f(x)=2x/(x^2-4)


{{{f(x)=2x/(x^2-4)}}}


DOMAIN:  What numbers can x be?  What numbers are not allowed?

{{{(2x)/((x-2)(x+2))}}}


Numerator will allow all real numbers but denominator must never be 0; so this means  {{{x<>2}}} and {{{x<>-2}}}.