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Math Help - difference between absolute value and 'normal' one

  1. #1
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    difference between absolute value and 'normal' one

    g ( x) = absolute value of x /x and g (x) = x /x

    i have to find the domain of each of the functions...what is the difference between them...
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  2. #2
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    Quote Originally Posted by alessandromangione View Post
    g ( x) = absolute value of x /x and g (x) = x /x

    i have to find the domain of each of the functions...what is the difference between them...
    g(x) = \frac{x}{x} = 1 , x \ne 0


    g(x) = \frac{|x|}{x} = 1 , x > 0

    g(x) = \frac{|x|}{x} = -1 , x < 0


    graph them to confirm.
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  3. #3
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    skeeter thank you for answering first...can u kindly explain me why the domain of the second and third is like that ?
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    Quote Originally Posted by alessandromangione View Post
    skeeter thank you for answering first...can u kindly explain me why the domain of the second and third is like that ?
    because of the definition of absolute value ...

    if x \ge 0 , |x| = x

    if x < 0 , |x| = -x
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  5. #5
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    Be aware, however, that there is not a "second" and "third". The last two equations are for the same function. And, in fact, frac{x}{x} and \frac{|x|}{x} have exactly the same domains- all x except 0.
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