Answer: [tex]f^{-1}(x)=\frac{x-1}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function start by replacing f(x) with x and replace the original x with y.
[tex]f(x)=2x+1\\x=2y+1[/tex]
Now solve for y
[tex]x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y[/tex]
Finally, replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]
