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KCET2014MathematicsSequences and Series

If the function ( f(x) ) satisfies ( _ x 1 f(x)-2 x²-1 = ) then ( _ x 1 f(x)= )

Options

  1. A( 02 )
  2. B( 03 )
  3. C( 11 )
  4. D( 00 )

Correct answer

A. ( 02 )

Step-by-step solution

Given that, ( _ x 1 f(x)-2 x²-1 = (1) ) Clearly, if ( _ x 1 f(x)=1 ) or ( 0 ) or ( 3 ). Then ( _ x 1 f(x-2) x²-1 ) doesn't exist, that is, contradicting Eq. (1). Hence, option (1) is the correct answer.

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