Answer:
[tex]y = \frac{1}{2}x+\frac{5}{2}[/tex]
Step-by-step explanation:
Use the x-swap-y method to find the inverse function:
[tex]y=2x-5\\x\leftrightarrow y\\x = 2y -5\,\,\,\mbox{solve for y:}\\2y= x+5\\y = \frac{1}{2}x+\frac{5}{2}[/tex]
