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Let 'a' be a real number such that the f...

Let 'a' be a real number such that the function `f(x) = ax^(2) +6x - 15, x in R` is increasing in `(-oo,(3)/(4))` and decreasing in `((3)/(4),oo)` . Then the function g(x) `=ax^(2) -6x + 15,x in R` has a :

A

local maximum at x = -`(3)/(4)`

B

local minimum at `x = -(3)/(4)`

C

loca maximum at `x = (3)/(4)`

D

local minimum at `x = (3)/(4)`

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