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The function f(x) satisfiesf(\sqrt{x + 1}) = \frac{1}{x}for all x \ge -1, x\neq 0. Find f(2).

 Nov 6, 2014

Best Answer 

 #1
avatar+27529 
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We must have √(x+1) = 2, so x+1 = 4, so x = 3

 

Therefore:  f(2) = 1/3

.

 Nov 7, 2014
 #1
avatar+27529 
+5
Best Answer

We must have √(x+1) = 2, so x+1 = 4, so x = 3

 

Therefore:  f(2) = 1/3

.

Alan Nov 7, 2014

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