Question

the functions u and w are defined as follows.
$u(x) = -x + 2$
$w(x) = 2x^2 - 1$
find the value of $u(w(-4))$.
$u(w(-4)) = \square$

Explanation:

Step1: Calculate \( w(-4) \)

Substitute \( x = -4 \) into \( w(x) = 2x^2 - 1 \).
\( w(-4) = 2(-4)^2 - 1 = 2\times16 - 1 = 32 - 1 = 31 \)

Step2: Calculate \( u(w(-4)) = u(31) \)

Substitute \( x = 31 \) into \( u(x) = -x + 2 \).
\( u(31) = -31 + 2 = -29 \)

Answer:

\( -29 \)