\(1/\sqrt(x^2-1)\)
For a function f(x), it's reciprocal is defined as 1 / f(x)
So if
f(x) = 1/ (√(x^2 – 1)
The reciprocal function is :
1 / f(x) = 1 / [ 1/ (√(x^2 – 1) ] = √(x^2 – 1)