The function \(f\) satisfies \(f(\sqrt{x + 1}) = \frac{1}{x} \) for all\(x \ge -1,x\neq 0.\)Find \(f(2) \).
f( sqrt(x + 1) ) = 1/x
To find f(2), we first need to find the value of x that makes sqrt( x + 1 ) = 2
Squaring both sides: x + 1 = 4
So: x = 3
Now, we can replace x with 3: f( sqrt(3 + 1) ) = f( sqrt(4) ) = f(2) = 1/3
Thank you so much!
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