Final answer:
The domain of the function f(x)=(27)/(13x-33) is all real numbers, except x = 33/13 or roughly 2.54. To solve this, you set the denominator equal to 0 and find the x-value which, if substituted in the function, would make the denominator 0.
Step-by-step explanation:
In the function f(x)=(27)/(13x-33), we must identify values that would cause the denominator to be zero, as this would make the function undefined. The easiest way to do this is to set the denominator equal to 0 and solve for x. The equation becomes 13x-33 = 0. Solving for x, we find the value of x to be 33/13 or approximately 2.54. Therefore, the domain of the function f(x)=(27)/(13x-33) is all real numbers except for 2.54.
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