Find the value of `x` where `f(x)={x ,\ if\ x\ r a t ion a l1-x ,\ if\ x\ i s\ irrational\ is\ contiuous.`

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

f(x)=1 for x is rational -1 for x is irrational,f is continuous on

Discuss the continuity of the following function f(x)={1,\ if\ x\ i s\ r a t ion a l , 0\ if\ x\ i s\ irrational

Statement 1: If f(x)={x ,\ if\ x\ i s\ irr a t ion a l1-x ,\ if\ x\ i s\ r a t ion a l\ ,\ t h e n(lim)_(x->1//2)f(x) does not exist. Statement 2: x->1/2 can be rational or irrational value. Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true; Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true

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

Let f(x)=[x^(2) if x is irrational,1 if x is rational then

Show that the function f:R rarr R:f(x)={1 if x is rational and -1, if x is irrational is many- one into

Let f(x) = [{:(x^(2), " if x is irrational"),(1, " if x is rational"):} , then

Discuss the continuity of f(x)={x^2,xi sr a t ion a l-x^2,xi si r r a t ion a ldot

f(x)={1 if x is rational then -1 if x is irrational then Lt_(x rarr1+f(x))=