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Math Help - Implied Domain

  1. #1
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    Implied Domain

    I have two questions asking about the implied domain? What is the implied domain and do you find it like you would find just a regular domain?

    (a) h(x)= ln (3x - 4)

    (b) h(x) = (abs(x)) / x

    for b I put the implied domain I put all real numbers except 0. is this right?
    i got the answer to b
    this on is hard for me:

    arcsin(3x -2)
    Last edited by tigergirl; April 7th 2010 at 10:37 AM. Reason: I got the answer for one
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by tigergirl View Post
    I have two questions asking about the implied domain? What is the implied domain and do you find it like you would find just a regular domain?

    (a) h(x)= ln (3x - 4)

    (b) h(x) = (abs(x)) / x

    for b I put the implied domain I put all real numbers except 0. is this right?
    i got the answer to b
    this on is hard for me:

    arcsin(3x -2)
    for a) the implied domain for lnx x>0 so for ln (3x-4) is 3x-4>0

    for b) your answer is correct

    for arcsin(3x-2)

    since the range of sin(x) is [-1,1]

    the implied domain is -1<= 3x-2 <= 1

    1 \leq 3x \leq 3

    \frac{1}{3} \leq x \leq 1
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