The inverse of f(x) =2x-1 is

Caution: Inverse function (not inverse only)
Formula for inverse function:
1. y = f(x) 
=> x => f^-1(y)
2. find x = something

Lets start:
y = f(x) = 2x-1
=> 2x = y+1
=> x = (y+1) / 2
=> f^-1(y) = (y+1) / 2
=> f^-1(x) = (x+1) / 2

The inverse of a function f(x) is denoted as f^(-1)(x) and is found by swapping the roles of x and y and then solving for y.

Given f(x) = 2x - 1, let's find its inverse:

1. Swap x and y: x = 2y - 1.
2. Solve for y: x + 1 = 2y.
3. Divide by 2: (x + 1)/2 = y.

So, the inverse function is f^(-1)(x) = (x + 1)/2.

Therefore, the inverse of f(x) = 2x - 1 is (x + 1)/2