For which values of x, function `f(x) = sin^(-1) x + sin^(-1).(1)/(x) + cos^(-1) x + cos^(-1).(1)/(x)` is defined? Also, find the range

Explanation

To determine the values of \( x \) for which the function

\[ f(x) = \sin^{-1}(x) + \sin^{-1}\left(\frac{1}{x}\right) + \cos^{-1}(x) + \cos^{-1}\left(\frac{1}{x}\right) \]

is defined, we need to analyze the domains of the inverse sine and cosine functions.

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