Given data:
The expression for the function is f(x)=6x^2 -11x+3.
The expression for the roots of f(x) is,
[tex]\begin{gathered} 6x^2-11x+3=0 \\ 6x^2-9x-2x+3=0 \\ 3x(2x-3)-1(2x-3)=0_{} \\ (3x-1)(2x-3)=0 \\ x=\frac{1}{3},\text{ }\frac{3}{2} \end{gathered}[/tex]
Thus, the roots of the given function is 1/3 and 3/2.
