Question

the functions u and w are defined as follows.
$u(x) = 2x - 1$
$w(x) = -2x - 2$
find the value of $w(u(-2))$.
$w(u(-2)) = \boxed{}$

Explanation:

Step1: Find u(-2)

Substitute \( x = -2 \) into \( u(x) = 2x - 1 \).
\( u(-2) = 2(-2) - 1 = -4 - 1 = -5 \)

Step2: Find w(u(-2)) = w(-5)

Substitute \( x = -5 \) into \( w(x) = -2x - 2 \).
\( w(-5) = -2(-5) - 2 = 10 - 2 = 8 \)

Answer:

\( 8 \)