Given that the function f (x) = (m2-m-1) x & nbsp; M2 + m − 3 is a power function and X ∈ (0, + ∞), f (x) is an increasing function, the analytic expression of F (x) is obtained

Given that the function f (x) = (m2-m-1) x & nbsp; M2 + m − 3 is a power function and X ∈ (0, + ∞), f (x) is an increasing function, the analytic expression of F (x) is obtained

∵ f (x) is a power function ∵ m2-m-1 = 1 (2) M = - 1 or M = 2 (4) f (x) = x-3 or F (x) = X3 (6 points) ∵ f (x) = x-3 is a decreasing function on (0, + ∞) F (x) = X3 is an increasing function on (0, + ∞) (10) f (x) = X3 (12 points)