Home
Class 12
MATHS
If f(x)={x, when x is rational and 0, wh...

If `f(x)={x,` when `x` is rational and `0,` when `x` is irrational `g(x)={0,` when `x` is rational and `x,` when `x` is irrational then `(f-g)` is

A

One-one onto

B

One-one not onto

C

Not one-one but onto

D

Not one-one not onto

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={x, when x is rational,1-x, when x is irrational,then

The functions RR,g:R R are defined as f(x)={0, whenxis rational and 1 when x is irrational } and g(x)={-1 when x is rational and 0 when x~ is~ irrational}~ find~ fog (pi) and gof(e)

If f(x)={x^(2) if x is rational and 0, if x is irrational }, then

f(x)=0, if x is irrational and f(x)=x, if x is rational.g(x)=0, if x is rational and g(x)=x, if x is irrational.Then f-g is

Let f(x)=0 for x is rational and x if x is irrational and g(x)=0 if x is irrational and x if x is rational then the function (f-g)x is

Let f(x)=[0, if x is rational and x if x is irrational and g(x)=[0, if x is irrational and x if x is rational then the function (f-g)x is

If f(x)={x,x is rational 1-x,x is irrational , then f(f(x)) is

If f(x)={{:(x^(2),:,"when x is rational"),(2-x,:,"when x is irrational"):}, then

If the functions f(x) and g(x) are defined on R rarr R such that f(x)={0,x in retional and x,x in irrational ;g(x)={0,x in irratinal and x,x in rational then (f-g)(x) is