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.
$g(-x)=-3(-x)^2-5\\
g(-x)=-3\cdot(x^2)-5\\
g(-x)=-3x^2-5\\
g(-x)=g(x)$
Therefore the function is even.
