In this question, the given functions are
[tex] f(x) = 2x^2 +2 , g(x) =3x+1 [/tex]
And we have to find the value of
[tex] (f-g)(x) [/tex]
Which is equal to
[tex] f(x) - g(x) [/tex]
So we have to subtract the two functions that is
[tex](f-g)(x) = 2x^2 +2 -3x-1 = 2x^2 -3x+1[/tex]
Correct option is the second option .