#### Answer

the function f is an even function

#### Work Step by Step

Calculate $f(t)$ and $f(-t)$
$f(t)=\frac{t^{2}}{t^{4}+1}$
$f(-t)=\frac{(-t)^{2}}{(-t)^{4}+1}=\frac{t^{2}}{t^{4}+1}$
therefore we can see that the function f is an even function that
satisfies $f(-x)=f(x)$ for every x in the domain.