Consider the functions k ( x ) = x − 2 k\left(x\right)=x-2 , l ( x ) = x − 2 l\left(x\right)=\sqrt{x-2} , m ( x ) = x + 2 m\left(x\right)=x+2 , and n ( x ) = 4 x 2 n\left(x\right)=4x^2 . Express y = 4 x y=4x as a composition involving one or more of the given functions.

n ( l ( m ( x ) ) ) n\left(l\left(m\left(x\right)\right)\right)

n ( l ( x ) ) n\left(l\left(x\right)\right)

n ( l ( k ( x ) ) ) n\left(l\left(k\left(x\right)\right)\right)

n ( m ( l ( x ) ) ) n\left(m\left(l\left(x\right)\right)\right)

Combining Functions

0. Functions / Combining Functions / Problem 4

Problem 4

Consider the functions $k (x) = x - 2$ , $l (x) = \sqrt{x - 2}$ , $m (x) = x + 2$ , and $n of x equals 4 x squared$ . Express $y equals 4 x$ as a composition involving one or more of the given functions.

$n (l (x))$

$n (l (m (x)))$

$n (l (k (x)))$

$n (m (l (x)))$