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

If f:R→R is defined as fx=2020-x20191/2019,∀x∈R, find (f∘f∘f∘f)20192020
  1. 1
  2. 0
  3. 20192020
  4. 20202019

Solution

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

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

Practice more Functions questions on Aicharya