Q.

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