Derivation of definition domain
When x- 1 >; 0 and x ≠ 1, it can be converted into x >；; 1 and x ≠ 2 Combining 5-2x ≥ 0, we can further get 2x ≤ 5, and finally deduce x ≤ 5/2. So the domain is (1, 2) ∩ (2,5/2].
The conclusion of definition domain
Through the above deduction, we come to the conclusion that the domain is (1, 2) ∩ (2,5/2). This conclusion is of great significance for understanding the properties and applications of functions.
The charm of mathematics
Mathematics is a fascinating subject, and its beauty lies in its logic and rigor. Domain is an important concept in mathematics. Through this example, we can feel the charm of mathematics.