Polynomials (Posted on 2005-05-10)

	Submitted by Charlie
Rating: 4.0000 (1 votes)
Solution:	(Hide)
There is a break at x=-2 in the interaction of f and g, so f(x) must change sign at that point, going from positive to negative or vice versa. Function f can reinforce or cancel out the quadratic and linear portions of g by the reversal of sign that takes place in the absolute value function, relative to the reversed sign of f at x=-2. So g(x) must be 2x - x². To cancel in one area and reinforce in the other, f(x) must be either 2x + x² or -2x - x². At x=10, the latter has the lower value, -120.

	Subject	Author	Date
	Answer	K Sengupta	2008-09-29 23:54:30
	re(2): numerical answer, without explanation	ajosin	2005-05-11 16:06:29
	may be the solution....	suman	2005-05-11 06:03:53
	re: numerical answer, without explanation	Richard	2005-05-11 00:46:07
	re: numerical answer, without explanation	Tristan	2005-05-10 21:46:04
	numerical answer, without explanation	John Reid	2005-05-10 21:39:44