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The function f satisfies

 

\(f(\sqrt{x + 1}) = \frac{1}{x}\)


for all \(x\neq 0.\)  Find \(f(2)\).

 Aug 7, 2019
 #1
avatar+104756 
+1

f ( √ [ x + 1) )   =  1  / x

 

f(2)   implies that

 

2  = √ [x + 1 ]        square both sides

 

4  = x + 1      subtract 1 from  both sides

 

3  = x

 

So

 

f(2)    =     1 / 3

 

 

cool cool cool      

 Aug 7, 2019
 #2
avatar+1196 
0

Thank you CPhill!

 Aug 8, 2019

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