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Solve the two sided inequality and show the solution on real line
7 < 1-2x ≤ 10


Given two functions as:
f(x) = x2-x-1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog

  • math -

    7 < 1-2x ≤ 10
    6 < -2x ≤ 9
    -3 > x ≥ -9/2
    or in the more usual form ..

    -9/2 ≤ x < -3

  • math -

    the second part of your question I had already answered for you yesterday, but here it is again ...


    domain of f : any real number
    domain of g : any real number except x ≠ 0

    fog
    = f(g(x))
    = f(3/x)
    = (3/x)^2 - 3/x - 1

    clearly the domain of fog is any real number, except x≠0

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