Which of the following function is even function [RPET 2000]

\[f(x)=\frac{{{a}^{x}}-{{a}^{-x}}}{{{a}^{x}}+{{a}^{-x}}}\]

\[f(x)=\frac{{{a}^{x}}+1}{{{a}^{x}}-1}\]

\[f(x)=x\left( \frac{{{a}^{x}}-1}{{{a}^{x}}+1} \right)\]

Which of the following function is even function

1.	Which of the following function is even function [RPET 2000]
A.	\[f(x)=\frac{{{a}^{x}}+1}{{{a}^{x}}-1}\]
B.	\[f(x)=x\left( \frac{{{a}^{x}}-1}{{{a}^{x}}+1} \right)\]
C.	\[f(x)=\frac{{{a}^{x}}-{{a}^{-x}}}{{{a}^{x}}+{{a}^{-x}}}\]
D.	\[f(x)=\sin x\]
Answer» C. \[f(x)=\frac{{{a}^{x}}-{{a}^{-x}}}{{{a}^{x}}+{{a}^{-x}}}\]

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Which of the following function is even function [RPET 2000]

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