Answer :
We have
[tex]f(x)=2x-3[/tex]We have
y=2x+3
We replace x with y
x=2y-3
then we isolate the y and we obtain the inverse function is
[tex]\frac{x+3}{2}[/tex]The domain is the set of all possible values that can have x , the domain of the inverse function is
[tex](-\infty,\infty)[/tex]the range is the ser of values that can have y all the possible values in this case the range is
[tex](-\infty,\infty)[/tex]