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Question

If f left parenthesis x right parenthesis and g left parenthesis x right parenthesis are non periodic function then h left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis is

  1. Non periodic    
  2. Periodic    
  3. May be periodic    
  4. Always periodic if domain of h left parenthesis x right parenthesis is a proper subset of real numbers    

The correct answer is: May be periodic


    Let f left parenthesis x right parenthesis equals left square bracket x right square bracket comma g left parenthesis x right parenthesis equals fraction numerator e to the power of negative k ∣ end exponent over denominator 2 end fraction
    rightwards double arrow h left parenthesis x right parenthesis equals open square brackets fraction numerator e to the power of negative k 1 end exponent over denominator 2 end fraction close square brackets equals 0 for all x element of R.

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