Question

Determine any restrictions on the variable. x^2+2x/x^2+4

Answer 1

set the denominator equal to ZERO.
and solve for x.

Answer 2

Restrictions are just when your denominator = 0. So yes, do what @SolomonZelman says.

Answer 3

x^2=-4?

Answer 4

it is always the case that \(x^2\geq 0\) and so \(x^2+4\geq 4\) i.e. it is never zero, so no restrictions