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

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Answer 1 · 2016-01-10T20:07:39

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

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.

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