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Question: Answered & Verified by Expert
If f:R→R is defined as fx=2020-x20191/2019,∀x∈R, find (f∘f∘f∘f)20192020
MathematicsFunctionsAP EAMCETAP EAMCET 2020 (23 Sep Shift 1)
Options:
  • A 1
  • B 0
  • C 20192020
  • D 20202019
Solution:
1208 Upvotes Verified Answer
The correct answer is: 20192020

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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