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Black Book Advanced Problems in MathematicsMathematicsFunctions

Which of the following is(are) incorrect ?

Options

  1. AIf f(x) = x and g(x) = x then range of g(f(x)) is [-1, 1]
  2. BIf x^2 + ax + 9 > x ; x R then -5 < a < 7
  3. CIf f(x) = (2011 - x²⁰¹²)^ 1 2012 then f(f(2)) = 1 2
  4. DThe function f: R R defined as f(x) = x^2 + 4x + 30 x^2 - 8x + 18 is not surjective.

Correct answer

A. If f(x) = x and g(x) = x then range of g(f(x)) is [-1, 1]

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