If the function f (x) = the x power of a (a is greater than 0, a is not equal to 1) satisfies f (2) = 81, then the value of F (- 1 / 2)

If the function f (x) = the x power of a (a is greater than 0, a is not equal to 1) satisfies f (2) = 81, then the value of F (- 1 / 2)


F (x) = x power of a (a is greater than 0, a is not equal to 1)
If f (2) = 81, i.e. a & # 178; = 81, then a = 9
F (- 1 / 2) = the (- 1 / 2) power of a
=1 / radical a
=1 / radical 9
=1/3



Given the function FX = ax square + (B-8) x-a-ab (a is not equal to 0), when x belongs to (- 3,2), FX is greater than 0,
When x belongs to (- infinity, - 3) or (2, + infinity), FX is less than 0
1. Find the range of FX in [0,1]
2. When C is the value, the inequality ax square + BX + C is less than or equal to 0 in [1,4]


F (x) = ax ^ 2 + (B-8) x-a-ab (a is not equal to 0)
When x belongs to (- 3,2), f (x) > 0
When x belongs to (- ∞, - 3) or (2, + ∞), f (x)



It is known that f (x) is an odd function over R, and if x


Let x + 1 = t, then x = T-1, ∵ X