Let f : A $$\to$$ R, where A = R \ {0} is such that $$f(x) = {{x + |x|} \over x}$$. On which one of the following sets is f(x) continuous?

Let f(x) = [x], where [ . ] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which of the following statements is correct?

Let f(x) = [x], where [ . ] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which one of the following statements is correct?

Let f(x) = [x], where [ . ] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which of the following statements are correct?

I. (fof) (x) = f(x).

II. (gog) (x) = g(x) only when x = 0.

III. (go(fog)) (x) can taken only three values.

Select the correct answer using the code given below.