![\displaystyle f^{-1}(x)=\frac{x-3}{2}](/tpl/images/0961/7719/90791.png)
Step-by-step explanation:
The Inverse of a Function
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
y = 2x + 3
* Solve the equation for x.
y - 3 = 2x
![\displaystyle x=\frac{y-3}{2}](/tpl/images/0961/7719/eeebb.png)
* Swap the variables:
![\displaystyle y=\frac{x-3}{2}](/tpl/images/0961/7719/4e220.png)
Write back into function form. This is the inverse function:
![\mathbf{\displaystyle f^{-1}(x)=\frac{x-3}{2}}](/tpl/images/0961/7719/53b4b.png)