If (f+g) (x) = 3x to the second power + 2x - 1 and g (x) = 2x - 2, what is f (x) ?

O A 3x2+1

OB. 3x2-1

Oc. 3x2+4

OD. 3x2-4

O E. x2 - 2

A. 3x²+1

Step-by-step explanation:

(f+g) (x) = f (x) + g (x)

given that

(f+g) (x) = 3x²

g (x) = 2x-2

f (x) = ?

put in the values

3x²+2x-1=f (x) + 2x-2

subtract 2x from both sides

3x²+2x-2x-1=f (x) + 2x-2x-2

3x²-1=f (x) - 2

add 2 on both sides

3x²-1+2=f (x) - 2+2

f (x) = 3x²+1