Please diregard the other one the square root sign did not come out right.

find the complete function f o g

f(x)=x^2+1;g(x)= square root x-4

x-3

I will assume that g(x) = √(x-4)

f o g = f(g(x))
= f(√(x-4) )
= (√(x-4))^2 + 1
= x-4+1
= x-3

Thanks very much. I am using the alt key plus 251 at the same time get the square root sign but that is not what comes up. Can you tell me what it is that you are doing to get it?

To find the composition function (f o g), we need to substitute the function g(x) into function f(x). Here are the steps to find the complete function f o g:

1. Start with the function g(x) = √(x - 4).
2. Replace the variable x in the function f(x) = x^2 + 1 with the function g(x).
f(x) = (g(x))^2 + 1
3. Substitute the value of g(x) into the function f(x).
f(g(x)) = (g(x))^2 + 1
= (√(x - 4))^2 + 1
= (x - 4) + 1
= x - 3

Therefore, the complete function f o g is f(g(x)) = x - 3.