SOLUTION: The function f(x) satisfies f(sqrt(x+1)) = 1/x for all x >= -1, x is not = 0. Find f(2).

Algebra ->  Functions -> SOLUTION: The function f(x) satisfies f(sqrt(x+1)) = 1/x for all x >= -1, x is not = 0. Find f(2).      Log On


   

Question 1027841: The function f(x) satisfies
f(sqrt(x+1)) = 1/x
for all x >= -1, x is not = 0. Find f(2).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28sqrt%28x%2B1%29%29+=+1%2Fx
Let x = 3: ==> f%28sqrt%283%2B1%29%29+=+f%28sqrt%284%29%29+=+f%282%29+=+1%2F3