Q.

If the graph of the function fx=ax-1xnax+1 is symmetrical about the y-axis, then n can be

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a

2

b

23

c

43

d

-13

answer is D.

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Detailed Solution

fx=ax-1xnax+1      fx  issymmetricalabouty-axis.  Thus,          fx=f-xor   ax-1xnax+1=ax-1-xna-x+1or    ax-1xnax+1=1-ax-xn1+a-xor  xn=--xnHence, the value of n which satisfies this relation is -13
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If the graph of the function fx=ax-1xnax+1 is symmetrical about the y-axis, then n can be