Calculus

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If f(x) and g(x) are continuous functions with f(6)= 3 and limit as x approaches 0 of (5f(x) - g(x)) = 4, what is g(6)?

  • Calculus -

    5 f(0) - g(0) = 4
    g(0) = 5 f(0)-4
    perhaps g(6) = 5 f(6) - 4 = 11
    but that assumes a linear relationship between g and f, not just continuous, namely
    g(x) = 5 f(x) - 4
    In other words, I do not know the answer based on the question.

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