Final answer:
To find the inverse of a function, follow these steps: Replace the function notation with y, swap the x and y variables, express y in terms of x, and replace y with the inverse function notation. If a mistake is made in step 2, it will result in an incorrect inverse function.
Step-by-step explanation:
To find the inverse of a function, we follow these steps:
- Replace the function notation with y.
- Swap the x and y variables.
- Express y in terms of x.
- Replace y with the inverse function notation.
If Sofia made a mistake in step 2, it means she didn't swap the x and y variables correctly. This would result in an incorrect inverse function. Therefore, Sofia made a mistake in step 2.