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. If f(x) = (3x – 2) / 8, find 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. If g(x) = (2x – 3) / (x – 1), x ε ℝ, x ≠ 1, 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. If h: x ↦ e(2x + 1) 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. If f(x) = 2 ln(3x – 1), x > 1/3. Find f– 1(x).

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