Question

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

Explanation:

Step1: Calculate $w(2)$

Substitute $x=2$ into $w(x)$:
$w(2)=-(2)^2 + 2 = -4 + 2 = -2$

Step2: Calculate $u(w(2))$

Substitute $w(2)=-2$ into $u(x)$:
$u(-2)=-2(-2) + 1 = 4 + 1 = 5$

Answer:

$5$