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Math

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f(x) = 1/3x + 3 and g(x) = x - 2

The functions f and g above are defined for all values of x. In the xy-plane, what is the y-coordinate of the point of intersection of the graphs of f and g?

  • Math -

    It is not clear if the x in the f(x) equation is in the denominator.

    I assume you mean
    f(x) = 1/(3x) + 3, and not
    x/3 + 3.

    f(x) = g(x) when
    1/(3x) + 3 = x -2
    1/(3x) = x - 5
    3x^2 -15x -1 = 0
    Solve for x. There will be two answers.
    x = (1/6)[15 +/- sqrt(225+12)]
    = 5.066 or -0.0658

  • Math -

    f(x) = (1/3)x the fraction one third x

  • Math -

    In that case, the problem simplifies to:

    (x/3) + 3 = x -2
    2x/3 = 5
    x = 7.5
    y = x-2 = 5.5

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