Final answer:
The domain of the function f(x)=(28)/(9x-33) is all real numbers except for 11/3. This is because in the function, the denominator cannot be zero, and 11/3 would make the denominator zero.
Step-by-step explanation:
The domain of a function is the set of all possible input values (or 'x' values) that will produce a valid output. In the function f(x)=(28)/(9x-33), the denominator cannot be equal to zero because division by zero is undefined in mathematics.
Therefore, we must set the denominator equal to zero and solve for 'x' to find the excluded value.
Setting the denominator equal to zero gives us: 9x - 33 = 0. Solving this for 'x' gives us: x = 33/9 or x = 11/3.
Therefore, the domain of the function f(x)=(28)/(9x-33) is all real numbers except for 11/3.
Learn more about Function Domain