Question

find the domain of f of f(x)=x/(sqrtx^2-4)
PLEASE HELP!

Answer 1

\[f(x)=\frac{x}{\sqrt x^2-4}\]
Like this?
Or:

\[f(x)=\frac{x}{\sqrt {x^2 -4}}\]

I guess the second one, so, denominator different from zero, everything under the root greater or equal to zero:

\[\sqrt {x^2-4} \neq 0\]
\[x^2-4 \ge 0\]

Notice, you can merge the two saying x^2-4 > 0, but you'll find it out solving :)

Answer 2

x can have values from R without -2 and 2