What is the value of b+c if x^2+bx+c>0 only when x\in (-\infty, 2)\cup(8,\infty)?
Because \(x \in (-\infty, 2)\cup(8,\infty)\), we know when x = 2, y = 0 and when x = 8, y = 0.
So, the quadratic is \((x-2)(x-8) = \color{brown}\boxed{x^2 - 10x + 16}\)
For, f(x) to be onto, codomain should be exactly equal to range.
What is range of funnction? FMC4ME FMCNA