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AP EAMCET202021 Sep 2020Evening ShiftMathematicsFunctionsActual

Let (f(x)= (a x)+ (x) ) be periodic. Then (a ) must be

Options

  1. AIrrational
  2. BRational
  3. CPositive real number
  4. DNegative real number

Correct answer

B. Rational

Step-by-step solution

If function (f(x)= (a x)+ (x) ) be periodic, then LCM of ( 2 |a| ) and (2 ) must exist and it is only possible if (a ) is a rational number. Hence, option (b) is correct.

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