Option c: [tex](f+g)(x) = 2x^2+2x-2[/tex] is the right answer
Step-by-step explanation:
Given functions are:
[tex]f(x) = -x^2+6x-1\\g(x) = 3x^2-4x-1[/tex]
We have to find (f+g)(x)
So,
[tex](f+g)(x) = f(x) + g(x)\\= -x^2+6x-1 + (3x^2-4x-1)\\=-x^2+6x-1+x^2-4x-1\\[/tex]
Combining like terms
[tex]=-x^2+3x^2+6x-4x-1-1\\=2x^2+2x-2[/tex]
Hence,
Option c: [tex](f+g)(x) = 2x^2+2x-2[/tex] is the right answer
Keywords: Functions, addition of functions
Learn more about functions at:
- brainly.com/question/725998
- brainly.com/question/7128279
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