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AP EAMCET202120 Aug 2021Morning ShiftMathematicsFunctionsActual

If f : z → z is defined by f ( x ) = x 9 - 11 x 8 - 2 x 7 + 22 x 6 + x 4 - 12 x 3 + 11 x 2 + x - 3 ∀ x ∈ z , then f ( 11 ) =

Options

  1. A7
  2. B8
  3. C6
  4. D9

Correct answer

B. 8

Step-by-step solution

Given, f ( x ) = x 9 - 11 x 8 - 2 x 7 + 22 x 6 + x 4 - 12 x 3 + 11 x 2 + x - 3             ∀ x ∈ z Putting 11 in place of x and solving the equation f ( 11 ) = 11 9 - 11 ( 11 ) 8 - 2 ( 11 ) 7 + 22 ( 11 ) 6   - ( 11 ) 4 - 12 ( 11 ) 3 - 11 ( 11 ) 2 + ( 11 ) - 3 = 11 - 3 = 8

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