SOLUTION: Hi all, I have another problem similiar to my earlier one, This time I have to solve the following: Given f(x) = x^2 + 1 and g(x) = sqrt(x-1) find f (g(x)) Any help would be grea

Algebra ->  Functions -> SOLUTION: Hi all, I have another problem similiar to my earlier one, This time I have to solve the following: Given f(x) = x^2 + 1 and g(x) = sqrt(x-1) find f (g(x)) Any help would be grea      Log On


   



Question 204334: Hi all, I have another problem similiar to my earlier one, This time I have to solve the following:
Given f(x) = x^2 + 1 and g(x) = sqrt(x-1) find f (g(x))
Any help would be greatly appreciated.
Thanks again, -Nick.

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x) = x^2 + 1 and g(x) = sqrt(x-1) find f (g(x))
--------------------------------
f[g(x)] = f[sqrt(x-1)]
= [sqrt(x-1)]^2 + 1
= x-1+1
= x
=====================
Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29+=+x%5E2%2B1 and g%28x%29+=+sqrt%28x-1%29 find f%28g%28x%29%29
f%28g%28x%29%29+=+f%28sqrt%28x-1%29%29 and...
f%28sqrt%28x-1%29%29+=+%28sqrt%28x-1%29%29%5E2%2B1=%28x-1%29%2B1+=+x