EXPLANATION
Since we have the functions:
[tex]s(x)=-2x+1[/tex][tex]t(x)=2x^2+1[/tex]
Composing the functions:
[tex]t(s(-4))=2(-2(-4)+1)^2+1[/tex]
Multiplying numbers:
[tex]t(s(-4))=2(8+1)^2+1[/tex]
Adding numbers:
[tex]t(s(-4))=2(9)^2+1[/tex]
Computing the powers:
[tex]t(s(-4))=2*81+1[/tex]
Multiplying numbers:
[tex]t(s(-4))=162+1[/tex]
Adding numbers:
[tex]t(s(-4))=163[/tex]
In conclusion, the solution is 163
