Answer
the function is neither
Work Step by Step
Calculate $f(t)$ and $f(-t)$
$f(t)=\frac{t}{t+1}$
$f(-t)=\frac{-t}{-t+1}=$
therefore we can see that the function f is not even or odd function.
lets give an example, $x=2,-2$
$f(2)=\frac{2}{3}$
$f(-2)=\frac{-2}{-1}=2$
so it shows that the function is neither