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AP EAMCET · Maths · Functions

If f:RR is defined as fx=2020-x20191/2019,xR, find (ffff)20192020

  1. A 1
  2. B 0
  3. C 20192020
  4. D 20202019
Verified Solution

Answer & Solution

Correct Answer

(C) 20192020

Step-by-step Solution

Detailed explanation

Given, fx=2020-x201912019 Now, f∘fx=ffx=2020-2020-x201912019201912019 ⇒f∘fx=x201912019=x Now, f∘f∘fx=ff∘fx=fx Now, f∘f∘f∘fx=ff∘f∘fx=ffx=x So, f∘f∘f∘f20192020=20192020
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