Question

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

a. 37
b. 97
c. 126
d. 606
The only thing I'm pretty sure about right now is that the answer isn't d.

Answer 1

the answer is A. 37

Answer 2

Option a is correct

`(f o g)(10) =37`

Explanation:

Given the functions:

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

`g(x) = x-4`

Then;

`(f o g)(x) = f(g(x))`

Substitute the function g(x), we have;

`f(x-4)`

Replace x with x-4 in function f(x) we have;

`f(x-4) = (x-4)^2+1`

⇒
`(f o g)(x) = (x-4)^2+1`

Substitute value of x = 10 we have;

`(f o g)(10) = (10-4)^2+1`

⇒
`(f o g)(10) = (6)^2+1=36+1`

Simplify:

`(f o g)(10) =37`

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