Algebra Emergency!!

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Find the inverse of f(x)=2x+1/x-1 and please VERIFY(CHECK) Thanks so much

  • Algebra Emergency!! -

    y = (2x+1) / (x-1) I assume you mean

    x = (2y+1)/(y-1)
    x y -x = 2 y + 1
    2 y - xy = -(x+1)
    (2-x)y = -(x+1)
    y = (x+1)/(x-2)

  • Algebra Emergency!! -

    Now try a check
    say x = 3 (do not use x = 1, undefined)
    then
    y = 7/2

    now see if that reverses
    if x = 7/2
    y = (7/2 +1)/ (7/2 -2)
    = (9/2) / (3/2)
    y = 3
    sure enough

  • Algebra Emergency!! -

    that's a great anecdote, but a true verification means that you have to show that

    (2[(x+1)/(x-2)]+1)/([(x+1)/(x-2)]-1) = x

  • Algebra Emergency!! -

    Thank you guys the help is great

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