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

Otras preguntas

greatest common factor of 25 and 35
Healthy bodies can come in a variety of shapes and sizes. How would changes in the types of bodies used in advertisements affect the health choices of the gener
what best describes the number 5? write prime, composite, neither prime nor composite, or both.
what does ¿Cuál es la fecha del Día de la Independencia? mean and how would you reply?
Josh wants to put a fence around his rectangular garden. The garden is 6 feet bt 15 feet. How much fencing must he purshase ?
The earth exerts a gravitational force of 500N on an object. What is the mas of the object in kg?
Faites des phrases comme dans l'exemple: Exemple : J'ai un chat: voilà mon chat. Tu as des disques: Elle a un frère: J'a
what is the square root of 90
who proposed the theory mental processes orginated in the brain
what number is equivalent to 4.054