Solve the rational inequality. Write the solution set in interval notation.

$\frac{(6-4x{)}^2}{(4x-9{)}^3}>0$

Move all terms to the left side of the inequality and then define the left side of the inequality as $f(x).$ Then list the open

intervals determined by the real zeros of $f$ and the real numbers for which $f$ is undefined. Complete the following table.

$($Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Simplify your

answer. Use ascending order.$)$