1.

If \[f(x)=\left| \begin{matrix}    {{2}^{-x}} & {{e}^{x{{\log }_{e}}2}} & {{x}^{2}}  \\    {{2}^{-3x}} & {{e}^{3x{{\log }_{e}}2}} & {{x}^{4}}  \\    {{2}^{-5x}} & {{e}^{5x{{\log }_{e}}2}} & 1  \\ \end{matrix} \right|,\] then

A. \[f(x)+f(-x)=0\]
B. \[f(x)-f(-x)=0\]
C. \[f(x)+f(-x)=2\]
D. None of these
Answer» B. \[f(x)-f(-x)=0\]


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