Home
Class 11
MATHS
If f: R rarr R and g:R rarr R are defi...

If `f: R rarr R ` and `g:R rarr R` are defined by `f(x)=x - [x]` and `g(x)=[x]` for ` x in R`, where [x] is the greatest integer not exceeding x , then for every `x in R, f(g(x))=`

A

x

B

0

C

`f(x)`

D

`g(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f: R rarr R is defined by f(x)= [2x]-2[x] for x in R , where [x] is the greatest integer not exceeding x, then the range of f is

If f: R rarr R is defined by f(x)= x-[x]- 1/2 for x in R , where [x] is the greatest integer not exceeding x, then {x in R : f(x) + 1/2}=

If f : R to R is defined by f(x) = [2x]-2[x] for x in R , where [x] is the greatest integer not exceeding x, then the range of f is:

If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] AA x in R, f(g(x)) =

If f: R rarr R is defined by f(x)= [x/5] for x in R , where [y] denotes the greatest integer not exceding y, then {f(x):|x| lt 71}=

If f:R rarr R is defined by f(x)=[2x]-2[x] for x in R , then the range of f is (Here [x] denotes the greatest integer not exceding x)

If f : R rarr R and g: R rarr R are given by f(x)=|x| and g(x)={x} for each x in R , then |x in R : g(f(x)) le f(g(x))}=

If f:R rarr and g:R rarr R are defined by f(x)=3x-4 and g(x)=2+3x then (g^(-1)" of"^(-1))(5)=