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Math Help - What is the domain and range of: n(x)= -2m(-2x)

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    What is the domain and range of: n(x)= -2m(-2x)

    2 quick question...
    My Question: What is the domain and range of: n(x)= -2m(-2x)

    n(x) = -2m(-2x) which simplifies to n(x) = -4mx

    Not sure what to do here




    Similar Question: What is the domain and range of: m(x): (the square root of) x+2

    m(x): (the square root of) x+2

    Domain: x+2 = 0
    .............x=-2
    Domain = X3R but can cannot be 2

    I'm not sure if the last two lines are right? Can someone check them for me please?
    Last edited by tdotodot; October 19th 2011 at 11:59 AM.
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  2. #2
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    Re: What is the domain and range of: n(x)= -2m(-2x)

    In general we start with the largest domain and exclude values from it. The largest domain is usually all the real numbers.
    We can exclude values which make the denominator 0, make the argument of a logarithm 0 or negative or make a square root negative

    Quote Originally Posted by tdotodot View Post
    2 quick question...
    My Question: What is the domain and range of: n(x)= -2m(-2x)

    n(x) = -2m(-2x) which simplifies to n(x) = +4mx

    Not sure what to do here
    There is no minus sign. -2 * -2 = 4

    Domain: Do any of the criteria at the top of my post apply
    Range: We need to know the sign of the constant m

    Similar Question: What is the domain and range of: m(x): (the square root of) x+2

    m(x): (the square root of) x+2

    Domain: x+2 = 0
    .............x=-2
    Domain = X3R but can cannot be 2

    I'm not sure if the last two lines are right? Can someone check them for me please?
    What does X3R mean? Your answer is not right since 2 is in the domain (as is -2 in case that was a typo)

    For the domain solve x + 2 \geq 0
    For the range what do you know about the graph of a square root?
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