Home
Class 11
MATHS
If f:Rrrarr RR and g: RR rarr RR are def...

If `f:Rrrarr RR and g: RR rarr RR` are defined by `f(x)=|x| and g(x)=[x-3]" for "x in RR,` then `{g(f(x)):-8//5 lt x lt 8//5}=`

A

`[0, 1]`

B

`[1, 2]`

C

`(-3, -2)`

D

`[2, 3]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 to R and g: R to 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)=

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))=

If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

If f:R rarr R, g:R rarr R are defined by f(x)=x^(2)+2x-3, g(x)=3x-4 , then (fog)(-1)=

If f:RrarrR,g:RrarrR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find ("gof")(2a-3)

If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3 , then (gof^(-1))(3)=