If the graph of the function f(x)=ax−1xnax+1 is symmetrical about the y -axis, then n equals
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a
2
b
23
c
14
d
-13
answer is D.
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Detailed Solution
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