Respuesta :

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]

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