Question

How can you find the inverse of a function algebraically

Answer 1

To find the inverse of a function algebraically, replace y with x and solve for x. Verify the answer by checking the composition of the function and its inverse. Example: y = 2x + 3, inverse is y = (x - 3) / 2.

Step-by-step explanation:

To find the inverse of a function algebraically, follow these steps:

1. Write the function as y = f(x).
2. Replace y with x and solve for x. This will give you the inverse function.
3. Verify your answer by checking if the composition of the function and its inverse equals the identity function.

For example, if you have the function y = 2x + 3, you would replace y with x to get x = 2y + 3, which can be rearranged to find the inverse function as y = (x - 3) / 2.

Answer 2

I hope this helps you can mostly find anything on google