Answer:
[tex]\displaystyle f^{-1}(x)=\frac{x-3}{2}[/tex]
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
[tex]\displaystyle x=\frac{y-3}{2}[/tex]
* Swap the variables:
[tex]\displaystyle y=\frac{x-3}{2}[/tex]
Write back into function form. This is the inverse function:
[tex]\mathbf{\displaystyle f^{-1}(x)=\frac{x-3}{2}}[/tex]
