let f(x) be a continuous function for all x belongs to real nos....f(0)=1 and f(x)is not equal to x..for any x belongs to real nos...then show that f(f(x)>x for all positve real nos.

thanks for help!

Question

let f(x) be a continuous function for all x belongs to real nos....f(0)=1 and f(x)is not equal to x..for any x belongs to real nos...then show that f(f(x)>x for all positve real nos. thanks for help!

Badiuddin askIITians.ismu Expert · Answer

Dear tshar Case 1 f(x)>x for all x ...................1 let x1 =f(x) now f(x1)>x1 put the value of x1 f(f(x)) >f(x).................2 from equation 1 and 2 or f(f(x) >x Case 2 f(x)

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let f(x) be a continuous function for all x belongs to real nos....f(0)=1 and f(x)is not equal to x..for any x belongs to real nos...then show that f(f(x)>x for all positve real nos. thanks for help!

let f(x) be a continuous function for all x belongs to real nos....f(0)=1 and f(x)is not equal to x..for any x belongs to real nos...then show that f(f(x)>x for all positve real nos.

thanks for help!

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