Answer:
the answer is 43.
Step-by-step explanation:
We have functions
[tex]f(x) = x^2+1[/tex]
[tex]g(x)=3x+1,[/tex]
and we want to evaluate
[tex]2f(1) + 3g(4)[/tex]
For this we first evaluate [tex]f(1)[/tex] and [tex]g(4)[/tex] separately:
[tex]f(1)=(1)^2+1=2[/tex]
[tex]g(4)=3(4)+1=13[/tex]
Therefore
[tex]2f(1) + 3g(4)= 2(2)+3(13)=43[/tex]
So we have
[tex]\boxed{2f(1) + 3g(4)=43}[/tex]