Answer: The correct option is (B) f(q) = 2q + 3.
Step-by-step explanation: The given equation representing a function is
[tex]6q=3s-9~~~~~~~~~~~~(i)[/tex]
We are to write the equation in function notation with 'q' as independent variable.
From equation (i), we have
[tex]6q=3s-9\\\\\Rightarrow 3s=6q+9\\\\\Rightarrow s=2q+3.[/tex]
So, 's' can be represented as a function of 'q'. Hence, we can write
[tex]s=f(q).[/tex]
Therefore, we have
[tex]f(q)=2q+3.[/tex]
Thus, (B) is the correct option.