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Aptitude360

Domain & Range

25 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.

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  1. Question 1

    Find the domain of the definition of the function
    y = |x|.

  2. Question 2

    Find the domain of the definition of the function
    y = √x.

  3. Question 3

    Find the domain of the definition of the function
    y = |√x|.

  4. Question 4

    Find the domain of the definition of the function
    y = (x – 2)¹ᐟ² + (8 – x)¹ᐟ².

  5. Question 5

    Find the domain of the definition of the function
    y = (9 – x²)¹ᐟ².

  6. Question 6

    Find the domain of the definition of the function
    y = 1/(x² – 4x + 3).

  7. Question 7

    What will be the domain of the definition of the function f(x) = 8–xC5–x for positive values of x?

  8. Question 8

    Find the domain of the definition of the function
    y = 1 / (4 – x²)¹ᐟ².

  9. Question 9

    The domain of definition of the function

    \( y=\dfrac{1}{\log_{10}(1-x)}+(x+2)^{1/2} \)

  10. Question 10

    The domain of definition of

    \( y=\left[\log_{10}\left(\dfrac{5x-x^2}{4}\right)\right]^{1/2} \) is

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