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Math Help - Some algebra questions

  1. #1
    Newbie
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    Need Help With A Few More

    Solve And Check. Like Any Restrictions (what Makes The Denominator Equal To Zero)
    ..1........5........ 30
    ---- + ---- = ----------
    X+3 ....X-3... (x+3)(x-3)


    Simplify

    X^2 + 13x + 36 ....... X^2 + 4x
    --------------- ./. -----------------
    ..X^2 - 3x + 2 ........X^2 + 15x + 56


    Add

    ........4 .................7
    ------------- + ----------
    X^2 - 3x + 2 ......X^2 - 1

    Solve By Using The Square Root Method
    (11x - 4)^2 = 12

    Determine Whether The Following Relation Is A Function
    {(2,-8), (2,4) (6,5) (8, -2) (10, -3)

    Evaluate The Following Function

    G(x) = 5x + 3; G(x-1)
    Last edited by Math Help; May 9th 2005 at 08:54 PM.
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  2. #2
    Site Founder Math Help's Avatar
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    Determine Whether The Following Relation Is A Function
    {(2,-8), (2,4) (6,5) (8, -2) (10, -3)

    This is not a function because you have two y values for the same x value (2,-8) and (2,4)


    Evaluate The Following Function

    G(x) = 5x + 3; G(x-1)

    G(x-1) = 5(x-1) + 3

    G(x-1) = 5x - 5 + 3

    G(x-1) = 5x - 2
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  3. #3
    Site Founder Math Help's Avatar
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    ..1........5........ 30
    ---- + ---- = ----------
    X+3 ....X-3... (x+3)(x-3)

    multiply the first fraction by (x-3)/(x-3)
    multiply the second fraction by (x+3)/(x+3)

    Then you get

    (x-3).............5(x+3)..............30
    ---------- + ------------ = ----------
    (x+3)(x-3)....(x-3)(x+3).......(x+3)(x-3)

    then

    x - 3 + 5x +5 = 30
    6x +2 = 30
    x = 28/6
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