Precalculus · Problem 5.1.42

Further Topics in Functions — Stitz & Zeager

Mathematics — Precalculus · function-decomposition-order

Problem

Let

g(x) = -x

h(x) = x + 2

j(x) = 3x

and

k(x) = x - 4

. In what order must these functions be composed with

f(x) = \sqrt{x}

to create

F(x) = 3\sqrt{-x + 2} - 4