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AP EAMCET2009MathematicsFunctions

The period of ^4 x+ ^4 x is

Options

  1. A^4 2
  2. B^2 2
  3. C4
  4. D2

Correct answer

D. 2

Step-by-step solution

Let aligned f(x) & = ^4 x+ ^4 x & = ( ^2 x+ ^2 x )^2-2 ^2 x ^2 x & =1- 1 4 2( 2 x)^2 aligned aligned & =1- 1 4 (1- 4 x) & = 3 4 + 4 x 4 Period of f(x) & = 2 4 = 2 aligned

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