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1 May, 06:26

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

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Answers (1)
  1. 1 May, 07:04
    0
    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
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