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Math Help - URgent HELP!!

  1. #1
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    URgent HELP!!

    questions are on attachment!!
    Attached Files Attached Files
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  2. #2
    Super Member

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    Hello, Brooke!

    Since you didn't explain where your difficulty lies,
    . . I'll just give you the answers.


    1. Find the inverse of f(x)\:=\:\frac{x-5}{3x+4}
    f^{\text{-}1}(x)\;=\;\frac{4x+5}{1-3x}


    2. Find the partial fraction decomposition: \frac{x^2-x-21}{(x^2+4)(2x-1)} \;=  \;\frac{Ax+B}{x^2+4} + \frac{C}{2x-1}
    \frac{3x + 1}{x^2+4} - \frac{5}{2x-1}


    3. Use synthetic division: (4x^3-3x^2-5x+6) \div(x-3)
    Code:
          3 | 4  -3   5    6
            |    12  27   96
             ---------------
              4   9  32  102

    Quotient: 4x^2 + 9x + 32 . . . Remainder: 102

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