Question

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

37
97
101
132

Answer 1

Step-by-step explanation: 37

Answer 2

A

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.