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calculus

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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

  • calculus -

    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

  • calculus -

    last line in calculation should say

    = (3/x)^2 - 3/x - 1

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