Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Let [x] and x denote the greatest integers and the fractional parts of real number x , and f:R-->R , g:R-->R be two functions defined by f(x)=x and g(x)=[x] , then f[g(x)] is equal to.

Let [x] and x denote the greatest integers and the fractional parts of real number x , and f:R-->R , g:R-->R be two functions defined by f(x)=x and g(x)=[x] , then f[g(x)] is equal to.

Answers (1)

best_answer

Solution:    f(x)=x=(x-[x])      .........(1)

                                  g(x)=[x].                ..........(2)

              Rightarrow         (fog)(x)=f[g(x)]=g(x)-[g(x)],

            Rightarrow           (fog)(x)=[x]-[[x]]=[x]-[x]=0

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question