wintonswitzer wintonswitzer
  • 06-02-2020
  • Mathematics
contestada

Let f(x)=2x^2+3x-15 and g(x)=x-1. Perform the function operation and then find the domain.

(F+G)(X)=

Respuesta :

sam4040
sam4040 sam4040
  • 12-02-2020

Answer:

[tex](F+G)x=2x^2+4x-16[/tex]

[tex]Domain[/tex] [tex]=(-\infty,\infty)[/tex]

Step-by-step explanation:

Given that

[tex]F(x)=2x^2+3x-15[/tex]

and  [tex]G(x)=x-1[/tex]

then   [tex](F+G)x = F(x)+G(x)[/tex]

[tex]=(2x^2+3x-15)+(x-1)\\=2x^2+3x-15+x-1\\\\(F+G)x=2x^2+4x-16[/tex]

Domain

since it is a polynomial of degree [tex]2[/tex], the domain will be whole real line  

[tex]domain[/tex] [tex]=(-\infty,\infty)[/tex]

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