JEE Advanced Mathematics question

MathematicsFunctionJEE Advanced

If is a periodic function of the period then , where is a constant, is a periodic function of the period

Answer: (B)

Solution

Let . Then

g(x+1)=f(kx+k+a)=fMissing or unrecognized delimiter for \big\big((kx+a)+kMissing or unrecognized delimiter for \big\big)=f(kx+a)=g(x).

So is a period of . In

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Question ID VK-109164