In this tutorial, I go through using f(x) or g(t) notation. You will be shown what we mean by writing notation like f(x+1), 3f(x),-f(x) or g(t), 5g(-1) and given the opportunity to do several examples.
You will be asked to combine functions. In this tutorial, you are shown what we mean by combining functions and introduced to a simple example and the notation that you may expect to see.
Examples in the video
If f(x) = 2x – 3, g(x) = 3 / x where x ≠ 0 and h(x) = x2
Find:
- fg(x)
- gfh(x)
- fff(x)
Example
Example 1
Examples in the video
If f(x) = e2x + 1, g(x) = 2x – 4 and h(x) = ln x
Find:
- fg(x)
- hf(x)
- fh(x)
Example 1
Example 2
Examples in the video
If f(x) = e2x + 1, g(x) = 2x – 4 and h(x) = ln x
Find:
- fg(x)
- hf(x)
- fh(x)
Example 2
If you are not sure what an inverse function is or how to find one then this video should hopefully show you.
Example 3
Examples in the video
If f(x) = (3x – 2) / 8, find f– 1(x)
- If f(x) = (3x – 2) / 8, find f– 1(x)
Example 3
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
Examples in the video
- If g(x) = (2x – 3) / (x – 1), x ε ℝ, x ≠ 1, Find g-1(x)