Checkpoint: Decomposition of Functions Solutions

Checkpoint: Decomposition of Functions Solution

Determine j and k when $[k \circ j] (x) = m (x)$ .

$m (x) = |\frac{1}{2} x - 6| + 2$

$k (x) = |x| + 2 j (x) = \frac{1}{2} x - 6$

Note

There can be more than one way to decompose a combination of functions. Remember to keep it simple.

You can use technology to graph your functions and the composition to determine if your solution is correct.