The inverse of the function y= 10^x-10^ -x 10^x+10^ -x is: - Vidyadip

MCQ

The inverse of the function $\text{y}=\frac{10^\text{x}-10^{-\text{x}}}{10^\text{x}+10^{-\text{x}}}$ is:

A
$\log_{10}(2-\text{x})$
✓
$\frac{1}{2}\log_{10}\Big(\frac{1+\text{x}}{1-\text{x}}\Big)$
C
$\frac{1}{2}\log_{10}(2\text{x}-1)$
D
$\frac{1}{4}\log\big(\frac{2\text{x}}{2-\text{x}}\Big)$

✓

Answer

Correct option: B.

$\frac{1}{2}\log_{10}\Big(\frac{1+\text{x}}{1-\text{x}}\Big)$

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