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  1. Home
  2. /Prelims Questions
  3. /Miscellaneous
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Miscellaneous·2016·Easy

Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 } and g(x) = f(|x|) + |f(x)| Which of the following statements are correct ? 1.g(x) is continuous at x = 0. 2.g(x) is continuous at x = 2. 3.g(x) is continuous at x = –2. Select the correct answer using the code given below :

Let f(x) = { –2, –3 ≤ x ≤ 0
       –x – 2, 0 < x ≤ 3 }
and g(x) = f(|x|) + |f(x)| Which of the following statements are correct ?

1.g(x) is continuous at x = 0.

2.g(x) is continuous at x = 2.

3.g(x) is continuous at x = –2.

Select the correct answer using the code given below :

Options

  1. a.

    1 and 2 only

  2. b.

    2 and 3 only

  3. c.

    1 and 3 only

  4. d.

    1, 2 and 3

    Correct answer

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