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16 November, 07:34

If (f + g) (x) = 3x2 + 2x - 1 and g (x) = 2x - 2, what is f (x) ?

A.

3x2 + 1

B.

3x2 - 1

C.

3x2 + 4

D.

3x2 - 4

E.

x2 - 2

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Answers (1)
  1. 16 November, 07:46
    0
    the A is right

    Step-by-step explanation:

    We have (f+g) (x) = f (x) + g (x)

    So f (x) + g (x) = 3x^2 + 2x - 1 and we know g (x) = 2x - 2

    or f (x) + 2x-2 = 3x^2 + 2x - 1

    f (x) = 3x^2 + 2x - 1 - (2x - 2)

    f (x) = 3x^2 + 2x - 1 - 2x + 2 /

    finally

    f (x) = 3x^2 + 1, and the A is right.

    Have a good day
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