For this case we have the following functions:
[tex]f (x) = 2x ^ 2-8x + 6\\g (x) = 3x-1[/tex]
We must find f (x) + g (x):
We have to:
[tex]f (x) + g (x) = 2x ^ 2-8x + 6 + (3x-1)\\f (x) + g (x) = 2x ^ 2-8x + 6 + 3x-1[/tex]
We add similar terms:
[tex]f (x) + g (x) = 2x ^ 2-5x + 5[/tex]
Answer:
[tex]f (x) + g (x) = 2x ^ 2-5x + 5[/tex]
OPTION C