Final answer:
The domain of the function (5x+4)/(x-1) is all real numbers except 1. In interval notation, it can be represented as (-∞, 1) U (1, +∞).
Step-by-step explanation:
The domain of the function (5x+4)/(x-1) is all real numbers except the value that makes the denominator zero. In this case, if we set the denominator (x-1) equal to zero and solve for x, we get x = 1. Therefore, the domain is all real numbers except 1. In interval notation, we can represent this as (-∞, 1) U (1, +∞).