Inverse Function

How to show the inverse of a function in math?

In the mathematical expression, the inverse of "f(x)" will be written as

What is the inverse function?

Let's look at an example.

First, replace "f(x)" with "y", which will turn the function (equation) to

Then, switch "x" and "y", the function will be

Finally, solve the equation.

Let's try another example.

Identify if the inverse of a function is a function.

First, try to draw the function.

Next, draw a horizontal line on the function to see how many intersecting points the function and the horizontal line have.

Finally, check if the inverse of the function is a function. If the function and the horizontal line have over one intersecting point, the inverse of the function will not be a function, but if there is only one intersecting point, the inverse of the function is a function.

Let's try another example.