The domain of the function f(x) = x + 6 / ((x - 7)(x + 5)) is all real numbers except x = 7 and x = -5.
This is because the function is undefined at x = 7 and x = -5, as it would involve division by zero in those cases. Therefore, the domain of the function f(x) is all real numbers except x = 7 and x = -5.