Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2+1\text{ and } g(x)=x-4[/tex]
And we want to find:
[tex](f\circ g)(10)[/tex]
This is equivalent to:
[tex]=f(g(10))[/tex]
Find g(10) first:
[tex]g(10)=(10)-4=6[/tex]
Substitute:
[tex]f(g(10))=f(6)[/tex]
Evaluate f(6):
[tex]f(6)=(6)^2+1=37[/tex]
Therefore:
[tex](f\circ g)(10)=37[/tex]
Our answer is A.
