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Math Help - Please help me on finding the domain

  1. #1
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    Please help me on finding the domain

    how would you find the domain for this question
    f (x) = sqrt x + 3 / 2 - x
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  2. #2
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    Quote Originally Posted by diehardmath4 View Post
    how would you find the domain for this question
    f (x) = sqrt x + 3 / 2 - x
    Hi

    Your question is not clear enough
    The use of parentheses is mandatory

    Do you mean

    f(x) = \sqrt{\frac{x+3}{2-x}} ?
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  3. #3
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    yes I don't know how to type the square root
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  4. #4
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    Just quote my message and you will be able to use tex formula !
    f(x) = \sqrt{\frac{x+3}{2-x}}

    f is defined when \frac{x+3}{2-x} \geq 0

    which means when x+3 \geq 0 and 2-x > 0

    or x+3 \leq 0 and 2-x < 0
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  5. #5
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    so the answer would be or 2x <or=5?
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  6. #6
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    No

    x+3 \geq 0 and 2-x > 0 leads to -3 \leq x < 2

    x+3 \leq 0 and 2-x < 0 is empty
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