We have the following function given:
[tex]y=2x-5[/tex]And we want to find the inverse so we can do this, we can interchange x by y and y by x and we got:
[tex]x=2y-5[/tex]And if we solve for y we got:
[tex]y=\frac{x+5}{2}[/tex]And that represent the inverse for this case