What is the domain of the function f(x) = cos-1(x – 2)

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 Multiple Choice QuestionsMultiple Choice Questions

81.

If f(x) = 2x - x2, then what is value of f(x + 2) + f(x - 2) = ? at x = 0

  •  - 8

  •  - 4

  • 8

  • 4


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82.

What is the domain of the function f(x) = cos-1(x – 2) ?

  • [ - 1, 1]

  • [1, 3]

  • [0, 5]

  • [ - 2, 1]


B.

[1, 3]

As we know the range of the function cosx for any value of x is [1, 1]

As here in the question the given function is f(x) = cos-1x - 2

So the domain of f(x) is

 - 1  x - 2  1

1  x  3

So, the domain of the function f(x) = cos-1(x – 2) is [1, 3]


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83.

Let y = 3x+ 2. If x changes from 10 to 10.1, then what is the total change in y ?

  • 4.71

  • 5.23

  • 6.03

  • 8.01


84.

What is the minimum value of |x – 1|, where x ∈ R ? 

  • 0

  • 1

  • 2

  • - 1


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85.

If f(x) = 3x2 – 5x + p and f(0) and f(1) are opposite in sign, then which of the following is correct ?

  • -2 < p < 0

  • -2 < p < 2

  • 1 < p < 2

  • 3 < p < 5


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