AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper

Let a, b, c be real numbers such that 2a + 3b + 6c = 0 and g (x) = ax2 + bx + c = 0 has atleast one root in the interval (1 , 2). If a function f : [1 , 2] → R for which Rolle's mean value theorem holds is such that f (x) is a primitive of g (x) , then f (x) =