Answer:
[tex]f^{-1}(x)=\dfrac{x-1}{2}[/tex]
Step-by-step explanation:
To find the inverse function for y = f(x), solve the equation ...
x = f(y)
x = 2y +1 . . . . . . . use the function definition
x-1 = 2y . . . . . . . . undo the addition of 1 (subtract 1)
(x -1)/2 = y . . . . . undo the multiplication by 2 (divide by 2)
The inverse function is ...
f⁻¹(x) = (x -1)/2
