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Given that h(x)=x+1/x-2 and g(x) =4-x. Find h(g)(x) and find g(h)(x).

P.S. Thanks for the correction Steve.

  • math -

    h(g) = (g+1)/(g-2)
    = ((4-x)+1)/((4-x)-2)
    = (5-x)/(2-x)

    g(h) = 4-h
    = 4 - (x+1)/(x-2)
    = (4(x-2) - (x+1))/(x-2)
    = (3x-9)/(x-2)

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