Answer
even
Work Step by Step
We know that if a function is odd, then $f(-x)=-f(x).$
We know that if a function is even, then $f(-x)=f(x).$
Hence, we plug in $-x$ into $x$ to see what happens.
$g(-x)=\dfrac{1}{(-x)^2}\\
g(-x)=\dfrac{1}{x^2}\\
g(-x)=g(x)$
Therefore the function is even.
