Given:
[tex]f(x)=2x-3[/tex]
The inverse of the function is,
[tex]\begin{gathered} \text{Let y= f(x)} \\ y=2x-3 \\ \text{Replace x with y, and solve for y} \\ x=2y-3 \\ x+3=2y \\ y=\frac{x+3}{2} \end{gathered}[/tex]
So, the inverse of the function is,
[tex]\begin{gathered} f(x)=2x-3 \\ f^{-1}(x)=\frac{x+3}{2} \end{gathered}[/tex]
The graph of the function is,
