Question

the functions r and s are defined as follows.\\( r(x) = 2x - 2 \\)\\( s(x) = -2x^2 + 1 \\)find the value of \\( s(r(4)) \\).

Explanation:

Step1: Calculate r(4)

Substitute $x=4$ into $r(x)$:
$r(4)=2(4)-2=8-2=6$

Step2: Calculate s(r(4))

Substitute $x=r(4)=6$ into $s(x)$:
$s(6)=-2(6)^2+1=-2(36)+1=-72+1$

Answer:

$-71$