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AP EAMCET2002MathematicsFunctions

If f(x)= x ^2 x+ ^4 x , for x R , then f(2002) is equal to

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

We have, f(x)= ^2 x+ ^4 x ^2 x+ ^4 x aligned & = 1- ^2 x+ ^4 x 1- ^2 x+ ^4 x & = 1- ^2 x (1- ^2 x ) 1- ^2 x (1- ^2 x ) & = 1- ^2 x ^2 x 1- ^2 x ^2 x =1 f(2002) & =1 aligned

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