# How to Find the Inverse Function

To find the inverse function, follow these four steps:

- Write the equation as a linear equation (swap
`f(x)`

with`y`

). - Swap variables
`x`

and`y`

. - Solve for
`y`

. - Apply the inverse notation (replace
`y`

with`f^(-1)(x)`

).

# Example

Find the inverse function of

**Solution.** Let’s apply the above steps.

- Write the equation as a linear equation.

2. Swap variables `x`

and `y`

.

3. Solve for `y`

.

Subtract `4`

from both sides:

Divide both sides by `2`

:

You can simplify the left-hand side by separately dividing both values of the numerator:

4. Apply the inverse notation:

And there is your solution.

If you want, you can use a tool like WolframAlpha to plot your functions:

# Conclusion

Thanks for reading. I hope you enjoy it!