We have a polynomial function and we have to evaluate it for x=-1.
We can do it by replacing x with -1 and calculate:
[tex]\begin{gathered} t(x)=2x^2+2x-10 \\ t(-1)=2(-1)^2+2(-1)-10 \\ t(-1)=2\cdot1-2-10 \\ t(-1)=2-2-10 \\ t(-1)=-10 \end{gathered}[/tex]Answer: t(-1) = -10