The inverse of the function \(y=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}\) is
A. \(\log _{10}(2-x)\)
B. \(\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)\)
C. \(\frac{1}{2} \log _{10}(2 x-1)\)
D. \(\frac{1}{4} \log \left(\frac{2 x}{2-x}\right)\)
Answer:B
The inverse of the function \(y=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}\) is
A. \(\log _{10}(2-x)\) B. \(\frac{1}{2} \log _{10}\left(\frac{1+x}{1-x}\right)\) C. \(\frac{1}{2} \log _{10}(2 x-1)\) D. \(\frac{1}{4} \log \left(\frac{2 x}{2-x}\right)\)