Respuesta :

[tex]\begin{gathered} f(x)=2x-5 \\ g(x)=1+x^2 \end{gathered}[/tex]

To find the value of the given composition of functions you follow the next steps:

1. Find g(3):

[tex]\begin{gathered} g(3)=1+3^2 \\ g(3)=1+9 \\ g(3)=10 \end{gathered}[/tex]

2. Find f(g(3)) or f(10):

[tex]\begin{gathered} f(g(3))=f(10) \\ f(g(3))=2(10)-5 \\ f(g(3))=20-5 \\ f(g(3))=15 \end{gathered}[/tex]Then, f(g(3)) is equal to 15