Question

the functions u and w are defined as follows.\\(u(x) = 2x - 2\\)\\(w(x) = -2x^2 - 2\\)find the value of \\(w(u(5))\\).\\(w(u(5)) = \square\\)

Explanation:

Step1: Calculate u(5)

Substitute $x=5$ into $u(x)$:
$u(5)=2(5)-2=10-2=8$

Step2: Calculate w(u(5))

Substitute $x=8$ into $w(x)$:
$w(8)=-2(8)^2 - 2=-2(64)-2=-128-2$

Answer:

$-130$