Answer:
Explanation:
This is a quadratic function, which is a function of the form f(x) = ax^2 + bx + c, where a, b and c are constants. The function can be written in general form as f(x) = (x-4) / (x^2 +13x + 36).
To find the roots of the function (i.e. the points at which the function intersects the x-axis), we can use the quadratic formula:
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
In this case, a = 1, b = 13 and c = 36.
Substituting these values into the quadratic formula, we get:
x = [-13 +/- sqrt(169 - 4(1)(36))] / 2
x = [-13 +/- sqrt(97)] / 2
x = [-13 +/- 9.8488578] / 2
x1 = -1.1744289
x2 = 11.1744289
Therefore, the roots of the function are x1 = -1.1744289 and x2 = 11.1744289.