To find the inverse function, follow these four steps:
- Write the equation as a linear equation (swap
- Swap variables
- Solve for
- Apply the inverse notation (replace
Find the inverse function of
Solution. Let’s apply the above steps.
- Write the equation as a linear equation.
2. Swap variables
3. Solve for
4 from both sides:
Divide both sides by
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:
Thanks for reading. I hope you enjoy it!