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

 Jul 11, 2022
 #1
avatar+124676 
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f(2)  implies that

 

sqrt (x + 1)  =  2      →   x  = 3

 

So

 

f(2)  =  1 / 3

 

cool cool cool

 Jul 11, 2022

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