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Math Help - Algebra 2:Can someone show me how you would go about solving for G(x)?

  1. #1
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    Algebra 2:Can someone show me how you would go about solving for G(x)?

    The equation goes: 2G(x)-1/(G(x)+1=2√x2+1 -1/(√x2+1 +1)
    I need to know how would you go about solving for the G(x) because i'm so stuck!
    Note: The "x2+1" is under the square root. It jus didn't look right so I had to make a note.
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    Re: Algebra 2:Can someone show me how you would go about solving for G(x)?

    is it (2G(x)-1)/(G(x)) or 2G(x)-(1/G(x))??
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    Re: Algebra 2:Can someone show me how you would go about solving for G(x)?

    Because if it's (2G(x)-1)/(G(x)) then just split up the numerator and you'll get 2-1/G(x)= 2√x 2+1 -1/(√x2+1 +1) and that's the equivalent of 2-[2√x2+1 -1/(√x2+1 +1) ]=1/G(x)

    So that'll give you G(x)=1/(2-[2√x2+1 -1/(√x2+1 +1)])
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    Re: Algebra 2:Can someone show me how you would go about solving for G(x)?

    Hello, EJdive43!

    How is this any different from any other "solve for G" problem?


    \text{Solve for G: }\:\frac{2G-1}{G+1} \:=\:\frac{2\sqrt{x^2+1} - 1}{\sqrt{x^2+1} + 1}

    We have: . (2G-1)(\sqrt{x^2+1} + 1) \:=\:(G+1)(2\sqrt{x^2+1} - 1)

    . . 2G\sqrt{x^2+1} + 2G - \sqrt{x^2+1} - 1 \:=\:2G\sqrt{x^2+1} - G + 2\sqrt{x^2+1} - 1

    x . . . . . . . . . . . . . . . . . . . . 3G \:=\:3\sqrt{x^2+1}

    . . . . . . . . . . . . . . . . . . . . . . G \:=\:\sqrt{x^2+1}
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