Is there a difference if we plug in any number numerically into:
\(f(x) = \sqrt{x+1/x-1} \)
and
\(g(x) = \sqrt{x+1}/\sqrt{x-1}\)
If so, give a number.
\(f(x) = \sqrt{x+1/x-1}\) \(\large=\sqrt{x+\frac{1}{x}-1}\)
\(g(x) = \sqrt{x+1}/\sqrt{x-1}\) \(\large=\sqrt{\frac{x+1}{x-1}}\)
!