3.3 Functions- Inverse Functions

Inverse Functions

Here is the Khan Academy series on inverse functions. If you prefer Examsolutions, their tutorial is below and it is followed by examples for you to try (with worked solutions).
Khan Academy: Introduction to Inverse Functions


Khan Academy: Inverse Functions Example 1


Khan Academy: Inverse Functions Example 2


Khan Academy: Inverse Functions Example 3


Alternative Tutorial and Examples
If you are not sure what an inverse function is or how to find one then this video should show you.
You will be shown how to find the inverse of this function.

example

Examsolutions tutorial on finding Inverse Functions

I would now recommend that you try the following examples.
In this example the aim is to have two x values in the function and show that you can use other letters other than f(x)
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example

Worked solution to (7)

In the next example you are given an exponential function and introduced to using other notation.
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example

Worked solution to (8)

Finally an example using natural logs.
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example

Worked solution to (9)

Further Mixed Examples

Here are two examples which you may like to try before looking at the video.

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example 1

Tutorial and Worked solution to (10)

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example 2

Tutorial and Worked solution to (11)