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$If the graph of the function f (x) = \frac{a^{x} - 1}{x^{n} (a^{x} + 1)} is symmetrical about the y -axis, then n equals$

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Correct option is D

fx=ax-1xnax+1fx is symmetric about y-axis . Thus , fx =f-x ⇒ax-1xnax+1=a-x-1-xna-x+1 =1-ax-x n1+ax ⇒xn =- -xn Hence , the value of n which satisfies this relation is -13

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If the graph of the function f(x)=ax−1xnax+1 is symmetrical about the y -axis, then n equals

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Ready to Test Your Skills?

free study material

$If the graph of the function f (x) = \frac{a^{x} - 1}{x^{n} (a^{x} + 1)} is symmetrical about the y -axis, then n equals$