Find the domain of the function. (Enter your answer using interval notation.)f(x) = log9(12 − 4x)

The domain of a logarithmic function is the set of all possible input values (x-values) that will output real numbers. For the function f(x) = log9(12 - 4x), the argument of the logarithm (12 - 4x) must be greater than zero.

Here are the steps to find the domain:

1. Set the argument of the logarithm greater than zero.

12 - 4x > 0

2. Solve the inequality for x.

-4x > -12

x < 3

So, the domain of the function f(x) = log9(12 - 4x) is x < 3. In interval notation, this is (-∞, 3).