Question

the functions u and w are defined as follows. u(x) = -x + 1, w(x) = x² - 1. find the value of w(u(-2)). w(u(-2)) =

Explanation:

Step1: Find u(-2)

Substitute \( x = -2 \) into \( u(x) = -x + 1 \).
\( u(-2) = -(-2) + 1 = 2 + 1 = 3 \)

Step2: Find w(u(-2))

Substitute \( u(-2) = 3 \) into \( w(x) = x^2 - 1 \).
\( w(3) = 3^2 - 1 = 9 - 1 = 8 \)

Answer:

\( 8 \)