Consider the following function `f:RtoR` such that
`f(x)=x" if "xge0andf(x)=-x^(2)" if "xlt0`. Then, which one of the following is correct?

Consider the following function f:Rrarr R such that f(x) = x, if xge0 and f(x)=-x^(2) , if xlt0 then, which one of the following is correct?

If g(x)=(1)/(f(x))andf(x)=x,xne0 , then which one of the following is correct

Consider the function f:Rto{0,1} such that f(x)={{:(1","if ,x" is rational"),(0","if,"x is irratinal"):} Which one of the following is correct?

Let f:RtoR be defined as f(x)=sin(|x|) Which one of the following is correct?

A function f is defined by f(x)=x^(x) sin x in [0,pi] . Which of the following is not correct?

Consider the function f(x)=|x-1|+x^(2) where x in R. Which one of the following statements is correct?

Let A={x""inR|xge0| . A function f:AtoA is defined by f(x)=x^(2) . Which one of the following is correct ?