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AP EAMCET202023 Sep 2020Morning ShiftMathematicsFunctionsActual

If f : R → R is defined as f x = 2020 - x 2019 1 / 2019 , ∀ x ∈ R , find ( f ∘ f ∘ f ∘ f ) 2019 2020

Options

  1. A1
  2. B0
  3. C2019 2020
  4. D2020 2019

Correct answer

C. 2019 2020

Step-by-step solution

Given, f x = 2020 - x 2019 1 2019 Now, f ∘ f x = f f x = 2020 - 2020 - x 2019 1 2019 2019 1 2019 ⇒ f ∘ f x = x 2019 1 2019 = x Now, f ∘ f ∘ f x = f f ∘ f x = f x Now, f ∘ f ∘ f ∘ f x = f f ∘ f ∘ f x = f f x = x So, f ∘ f ∘ f ∘ f 2019 2020 = 2019 2020

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