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15 votes
15 votes
The functions r and s are defined as follows.

r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).

User Dino Viehland
by
2.6k points

2 Answers

17 votes
17 votes


r(x) = -2x-2\\ s(x) = 2x^2+2


s\big(r(2)\big) = s(-2\cdot 2-2) = s(-4-2) = s(-6) = 2\cdot(-6)^2+2 = 2\cdot 36+2 =\\ = 72+2 = 74


\Rightarrow \boxed{s\big(r(2)\big) = 74}

User Igor Cantele
by
3.2k points
26 votes
26 votes

Answer:

  • 74

Explanation:

Given functions:

  • r(x) = -2x - 2
  • s(x) = 2x² + 2

Find s(r(2)) in steps:

  • r(2) = -2*2 - 2 = - 4 - 2 = - 6
  • s(r(2)) = s(- 6) = 2(-6)² + 2 = 72 + 2 = 74
User Sherifa
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3.1k points