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  • 31-07-2020
  • Mathematics
contestada

For functions f(x)=2x^2−4x+3 and g(x)=x^2−2x−6, find a. (f+g)(x) b. (f+g)(3).

Respuesta :

akingbolabukola99
akingbolabukola99 akingbolabukola99
  • 31-07-2020

Answer:

a) 3x^2-6x-3

b) 6

Step-by-step explanation:

f(x)=2x^2−4x+3

g(x)=x^2−2x−6

a)  (f+g)(x) = (2x^2−4x+3) + (x^2−2x−6)

             collect like terms

   (f+g)(x) = 2x^2+x^2-4x-2x+3-6

   (f+g)(x) = 3x^2-6x-3

b) (f+g)(3). This implies that x=3

  recall (f+g)(3) = 3x^2-6x-3

   (f+g)(3) = 3(3)^2-6(3)-3 = 27-18-3

   (f+g)(3) = 27-21 =6

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