How do you find a composite function?

A composite function can be found by inserting one function inside another.

Example:

[1] y = x²

[2] y = 3x-2

[2] -> [1] y = (3x-2)²

I inserted the second expression into the first one by replacing the x in the first expression with the y from the second. Now that's a composite function of the first two functions.

Another composite function would be to insert the first one into the second one:

[1] -> [2] y = 3x²-2