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Under what circumstances is fog = gof always true? When is this statement true for f(x) = x2 + x – 2 and g(x) = x + 4? (4 marks)

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  • Math -

    It is true when f(x) and g(x) are inverses of each other, that is,
    f(g(x)) = g(f(x)) = x

    for f(x) = x^2 + x – 2 and g(x) = x + 4, since x+4 is clearly not the inverse of f(x) fog ≠ gof

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