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

Answer:

Option a is correct

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

Step-by-step 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