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Consider the following
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?
1. (fof)(x) = f(x).
2. (gog) (x) = g(x) only when x = 0.
3. (go (fog)) (x) can take only three values.
Q. Select the correct answer using the code given below:
  • a)
    1 and 2 only
  • b)
    2 and 3 only
  • c)
    1 and 3 only
  • d)
    1,2 and 3
Correct answer is option 'D'. Can you explain this answer?
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Consider the followingLet f (x) = [x], where [.] is the greatest integ...
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Consider the followingLet 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?1. (fof)(x) = f(x).2. (gog) (x) = g(x) only when x = 0.3. (go (fog)) (x) can take only three values.Q. Select the correct answer using the code given below:a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1,2 and 3Correct answer is option 'D'. Can you explain this answer?
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