The value of a function f(x) at a point 'a' is evaluated by substituting x=a inthe function.
Given data:
We are given that
[tex]f(x)=\frac{24}{3x-2}[/tex]So, f(-2) will be evaluated by substituitng x= -2 in f(x)
[tex]\begin{gathered} f(-2)=\frac{24}{3(-2)-2} \\ =\frac{24}{-6-2} \\ =\frac{24}{-8} \\ =-3 \end{gathered}[/tex]So, the correct option is B.