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Question

If the real valued function f(x)=ax1xn(ax+1) is even, then n is equal to

A
2
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B
23
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C
14
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D
3
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Solution

The correct option is D 3
f(x)=ax1xn(ax+1)
f(x)=ax1(x)n(ax+1)
=1ax(1)nxn(ax+1)
Since, f(x) is even function.
Therefore, f(x)=f(x)
ax1xn(ax+1)=1ax(1)nxn(ax+1)
(1)n=(1)
It satisfies, if n is odd
Hence, n=3

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