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

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

Find the value of x where f(x)={x ,if x is rational 1-x ,if x is irrational is continuous dot

Show that the function f defined by f(x)={(x if "x is rational"),(-x if "x is irrational"):} is continuous at x=0 AAxne0inR

Show that the function f defined by f(x)={(1 if "x is rational"),(0if "x is irrational"):} is discontinuous AAne0inalpha

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

if f(x)=x^2-ax+3 , x is rational and f(x)=2-x , x is irrational is continuous at exactly two points, then the possible values of a

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

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

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