Question

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

a.) 37
b.) 97
c.) 126
d.) 606

Answer 1

If
`f(x) = x2 + 1` and
`g(x) = x - 4` then

(f∘g)(10)=

Answer 2

Option a is correct

(f∘g)(10)=37

Explanation:

Given the functions:

`f(x) = x^2 + 1`

`g(x) =x-4`

We have to find (f∘q)(10).

At x = 10

g(10) = 10-4 = 6

then;

`(f o g)(10) = f(g(10))`

Substitute the value of g(10) we have;

`(f o g)(10) = f(6)`

Substitute the value of x = 6 in f(x) we have;

`(f o g)(10) =6^2+1`

⇒
`(f o g)(10) =36+1=37`

Therefore, the value of (f∘g)(10) is, 37