Question
If $f(x)=\log \left(\frac{1+x}{1-x}\right)$, show that, $f\left(\frac{2 x}{1+x^{2}}\right)=2 f(x)$
Step 1
Step 1: First, we substitute $x$ with $\frac{2x}{1+x^{2}}$ in $f(x)$: \[f\left(\frac{2x}{1+x^{2}}\right)=\log \left(\frac{1+\frac{2x}{1+x^{2}}}{1-\frac{2x}{1+x^{2}}}\right)\] Show more…
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