Let `f : R -> R` be defined as `f(x)={0, x` is irrational `sin|x|, x` is rational Then which of the following is true ?

Let f:R rarr R be defined as f(x)={0,x is irrational sin|x|,x is rational Then which of the following is true?

Let f: R to R be defined as f(x)={{:(0", x is irrational"),(sin|x|", x is rational"):} Then which of the following is true?

Let f:RrarrR be defined as . f(x)={(0, "x is irrational"),(sin|x|,"x is irrational"):} Then which of the following is true?

Let f: R rarr R be defined as f(X) = 3x. Then