Final answer:
The question is about finding a function value and solving quadratic equations. The value of f(x) at x = -2 cannot be determined without the specific function, and solving quadratic equations involves using the quadratic formula after identifying constants a, b, and c.
Step-by-step explanation:
The student's question is a mathematics problem involving calculation of a function value and understanding quadratic equations. Specifically, the student seems to be asking to find the value of the function f(x) at x = -2 and to solve quadratic equations. When dealing with quadratic equations of the form ax² + bx + c = 0, one can use the quadratic formula which comes from completing the square and is given by x = (-b ± √(b² - 4ac))/(2a). Additionally, the student's initial reference to a derivative suggests that they might be dealing with calculus, however, more context is needed to provide a full solution there.
To "undo" the square in the equation a² + b² = c² for a right triangle, you take the square root of each side, so that a equals the square root of c² - b². If we need to find f(-2), we substitute x with -2 in the given function and compute the result.
Without clearer notation or a specific function provided for f(x), it's not possible to calculate f(-2) precisely. For the quadratic equations mentioned, applying the quadratic formula after identifying values for a, b, and c will yield solutions for x.