Question

How do you find the compositions given `f(x) = |x + 1|` and `g(x) = 3x - 2`?

Answer 1

A composition can be found using one function and plugging it in as the X value of the other.

Explanation:

Example:

Find `f`(g(x))

=`f`(3x- 2)

= | 3x - 1|

`f`(g(x)) = |3x - 1|

To know how to find compositions well, you must have a solid understanding of function notation.

For example, `f`(3) = |x + 1| means that x = 3, which as a result makes the answer 4.

Hopefully you understand compositions now.