Answer:
[tex]\frac{5 - 5x^{-1} }{x - 2}[/tex]
Step-by-step explanation:
[tex]\frac{5}{x - 2}[/tex] ÷ [tex]\frac{x}{x -1}[/tex]
This equals;
([tex]\frac{5}{x - 2}[/tex]).([tex]\frac{x - 1}{x}[/tex])
(5x -5) ÷ (x² - 2x
Simplifying this gives: [tex]\frac{5 - 5x^{-1} }{x - 2}[/tex]
