Question

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?

Answer 1

Answer:

A

Step-by-step explanation:

We are given the two functions:

$f(x)=x^2+1\text{ and } g(x)=x-4$

And we want to find:

$(f\circ g)(10)$

This is equivalent to:

$=f(g(10))$

Find g(10) first:

$g(10)=(10)-4=6$

Substitute:

$f(g(10))=f(6)$

Evaluate f(6):

$f(6)=(6)^2+1=37$

Therefore:

$(f\circ g)(10)=37$

Our answer is A.