If f(x) = log left( frac{1 + x}{1 - x} right) | vedclass

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(D) Given $f(x) = \log \left( \frac{1 + x}{1 - x} \right)$.To check if the function is even or odd,we evaluate $f(-x)$:$f(-x) = \log \left( \frac{1 +

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Odd function

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(D) Given $f(x) = \log \left( \frac{1 + x}{1 - x} \right)$.To check if the function is even or odd,we evaluate $f(-x)$:$f(-x) = \log \left( \frac{1 + (-x)}{1 - (-x)} \right) = \log \left( \frac{1 - x}{1 + x} \right)$.Using the property of logarithms $\log(a^{-1}) = -\log(a)$,we can write:$f(-x) = \log \left( \left( \frac{1 + x}{1 - x} \right)^{-1} \right) = -\log \left( \frac{1 + x}{1 - x} \right)$.Since $f(-x) = -f(x)$,the function $f(x)$ is an odd function.

If $f(x) = \log \left( \frac{1 + x}{1 - x} \right)$,then $f(x)$ is

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