Answer:
The value of f(g(3)) is 23.
Step-by-step explanation:
The given functions are
[tex]f(x)=2x+3[/tex]
[tex]g(x)=x^2+1[/tex]
We have to find the value of f(g(3)).
Substitute x=3 in the function g(x) to find the value of g(3).
[tex]g(3)=3^2+1=9+1=10[/tex]
[tex]f(g(3))=f(10)[/tex] [g(3)=10]
Substitute x=10 in the function f(x) to find the value of f(10).
[tex]f(10)=2(10)+3=20+3=23[/tex]
Therefore the value of f(g(3)) is 23.
