Let `f(x)=[x]`, where [.] is the greatest integer function and `g(x)=sinx` be two real valued functions over R.
Which of the following statements is correct?
1. (fof)(x)=f(x).
2. (gog)(x)=g(x) only when x=0.
3. (go(fog))(x) con take only three values.
Select the correct answer using the code given below:

Let f(x)=[x] , where [.] is the greatest integer function and g(x)=sinx be two real valued functions over R. Which one of the following statements is correct?

Consider the following for the next two items that follow: Let f(x)=[x] , where [.] is the greatest integer function and g(x)=sinx be two real valued function over R. Which of the following statements is correct?

Consider the following for the next two items that follow: Let f(x)=[x] , where [.] is the greatest integer function and g(x)=sinx be two real valued function over R. Which one of the following statements is correct?

Let f(x)={{:((e^(x)-1)/(x)",",xgt0),(0",",x=0):} be a real valued function. Which of the following statements is/are correct? 1. f(x) is right continuous at x=0. 2. f(x) is discontinuous at x=1. Seletct the correct answer using the code given below.

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous at x=0

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Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Let f(x)={{:((e^(x)-1)/(x)",",xgt0),(0",",x=0):} be a real valued function. Which one of the following statements is correct?

Let f(x)=|x| and g(x)=[x] , (where [.] denotes the greatest integer function) Then, (fog)'(-1) is