allysondolliver allysondolliver
  • 23-10-2021
  • Mathematics
contestada

The functions r and s are defined as follows.
r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).

Respuesta :

Danutz98
Danutz98 Danutz98
  • 23-10-2021

[tex]r(x) = -2x-2\\ s(x) = 2x^2+2[/tex]

[tex]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[/tex]

[tex]\Rightarrow \boxed{s\big(r(2)\big) = 74}[/tex]

Answer Link
mhanifa
mhanifa mhanifa
  • 23-10-2021

Answer:

  • 74

Step-by-step 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
Answer Link

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