I’m not sure if this is right I need help

Actually Welcome to the Concept of the Odd and Even Functions.

Basically an Even Function is such that,

If there is a function f(x) is positive, then if we replace x as -x, then also it should give a positive function such as,

f(x) = f(-x)

thus, square of any function is always positive, so the answer is, option 2)

===> g(x) = 2x^2 + 1

lo ; )