Suppose a,b,c>$$1$$ and $$f(x)=a$$−xaxxb−$$3xb3x3x3c$$−$$5xc5x5x5$$,x∈R then f is

Correct option is 4an even function

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Suppose $a, b, c > 1$ and $f (x) = |\begin{array}{ccc} a^{- x} & a^{x} & x \\ b^{- 3 x} & b^{3 x} & 3 x^{3} \\ c^{- 5 x} & c^{5 x} & 5 x^{5} \end{array}|, x \in R$ then $f$ is

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detailed solution

Correct option is D

f(−x)=axa−x−xb3xb−3x−3x3c5xc−5x−5x5=(−1)(−1)a−xaxxb−3xb3x3x3c−5xc5x5x5= f(x)Thus, f is an even function.

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Suppose a,b,c>1 and f(x)=a−xaxxb−3xb3x3x3c−5xc5x5x5,x∈R then f is

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Suppose $a, b, c > 1$ and $f (x) = |\begin{array}{ccc} a^{- x} & a^{x} & x \\ b^{- 3 x} & b^{3 x} & 3 x^{3} \\ c^{- 5 x} & c^{5 x} & 5 x^{5} \end{array}|, x \in R$ then $f$ is