Respuesta :

Option A:  x^2 +3x-1 is the correct answer

Step-by-step explanation:

Given functions are:

[tex]f(x) = x-2\\g(x) = x^2+1[/tex]

We have to find (f+g)(x), which is the addition of two given functions

So,

[tex](f+g)(x) = f(x) +g(x)\\= 3x-2 + (x^2+1)\\= 3x-2+x^2+1\\= x^2+3x-2+1\\=x^2+3x-1[/tex]

Hence,

Option A:  x^2 +3x-1 is the correct answer

Keywords: Functions, addition

Learn more about functions at:

  • brainly.com/question/4550858
  • brainly.com/question/4639731

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