Select the correct answer.

If f (x) = 3x+2 and g (x) = 2x - 2. what is (f - g) (x) ?

OA. X+4

OB. X-2

OC. X

OD. 5x-2

O E.

X-4

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f (x) = 3x+2

g (x) = 2x - 2

To find (f-g) (x)

(f-g) (x) = f (x) - g (x)

Substitute f (x) to 3x+2 and g (x) to 2x - 2

(f-g) (x) = (3x+2) - (2x-2)

Open the brackets

(f-g) (x) = 3x+2-2x+2

Rearrange

(f-g) (x) = 3x-2x+2+2

(f-g) (x) = x + 4

Answer is option A = x + 4