show all the steps it took to get your answer. What is the inverse of the given relation? y=2x-1
To find the inverse of the given relation y = 2x - 1, we need to swap the x and y variables and then solve for y.
1. Start with the equation y = 2x - 1.
2. Swap the x and y variables: x = 2y - 1.
3. Now, isolate y by adding 1 to both sides of the equation:
x + 1 = 2y.
4. Divide both sides by 2 to solve for y:
y = (x + 1) / 2.
Therefore, the inverse of the given relation y = 2x - 1 is y = (x + 1) / 2.