Domain: all real numbers except for $x=0$. Range: all positive real numbers.
Work Step by Step
As the denominator of a fraction cannot be zero, $x\ne 0$. Apart from $x=0$ all other real numbers are allowed, therefore the domain is all real numbers, except for 0. In $f(x)=1/x^2$ the y-values will always be positive numbers, as both the numerator and the denominator are positive ( $x^2$ is always non-negative), therefore zero is excluded. The range is all positive real numbers.