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## To find the domain of a function, we need to determine the set of all possible values that the independent variable (in this case, x) can take on while still keeping the function defined.

In this case, the function is f(x) = (x - 3)/(5x - 15).

To find the domain, we need to consider any values of x that would cause the function to be undefined. In this function, the only value that can make the function undefined is when the denominator, 5x - 15, is equal to zero. So let's solve for x:

5x - 15 = 0

5x = 15

x = 3

From this, we can see that x cannot equal 3, because it would make the denominator zero and the function undefined. Therefore, the domain of the function f(x) = (x - 3)/(5x - 15) is all real numbers except x = 3.