The inverse of a function

If you are not sure what an inverse function is or how to find one then this video should hopefully show you.

Example:

In this tutorial you will be shown how to find the inverse of the following:

  1. \text{If}\hphantom{aa}f(x) = \dfrac{{3x - 2}}{8},\hphantom{aa}\text{find}\hphantom{aa}f^{ - 1}(x)

Inverse Example on Handling more than 1 ‘x’ term.

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)

Example:

  1. \text{If } g(x) = \dfrac{2x-3}{x-1}, x \in \mathbb{R}, x \not= 1, \text{ Find }g^{ -1}(x),

Inverse Example involving Exponential Functions

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

Example:

  1. \text{If } h:x \to e^{(2x + 1)} \text{ find } h^{ - 1}

Inverse Examples using Natural Logs

In this example you are given a function using natural logs and asked to find the inverse.

Example:

  1. \text{If } f(x) = 2 \ln (3x - 1) \text{, } x > {\textstyle{1 \over 3}} \text{. Find } f^{ - 1}(x).

2017-11-05T15:33:34+00:00