The given functions are,
[tex]\begin{gathered} f(x)=-2x+5^{} \\ g(x)=x^2+x+10 \end{gathered}[/tex]The gof can be determined as,
[tex]\begin{gathered} \text{gof(x)}=g(f(x))| \\ =g(-2x+5) \\ =(-2x+5)^2+(-2x+5)+10 \\ =4x^2+25-20x-2x+5+10 \\ =4x^2-22x+40 \end{gathered}[/tex]Thus, the requried value of gof is given by the above expression.