Define f (x) = max [f (x), G (x)], known function f (x) = x ^ 2-x-3, G (x) = x + 5, find the maximum value of F (x) Define f (x) = max [f (x), G (x)], that is, when f (x) ≥ g (x), f (x) = f (x); when f (x) < g (x), f (x) = g (x). Given the function f (x) = x ^ 2-x-3, G (x) = x + 5, find the maximum value of F (x) It's a hard fight. Can anyone solve it? ??? why is it the maximum, not the minimum

Define f (x) = max [f (x), G (x)], known function f (x) = x ^ 2-x-3, G (x) = x + 5, find the maximum value of F (x) Define f (x) = max [f (x), G (x)], that is, when f (x) ≥ g (x), f (x) = f (x); when f (x) < g (x), f (x) = g (x). Given the function f (x) = x ^ 2-x-3, G (x) = x + 5, find the maximum value of F (x) It's a hard fight. Can anyone solve it? ??? why is it the maximum, not the minimum

1. When f (x) ≥ g (x), f (x) ≥ g (x)
x^2-x-3>=x+5
x^2-2x-8>=0
(x-4)(x+2)>=0
x> = 4, or X

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