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11 September, 01:11

Use f (x) and g (x) to evaluate each expression symbolically.

f (x) = 4x-x^3, g (x) = x+3

(A) (g+g) (-2)

(B) (f-g) (0)

(C) (gf) (1)

(D) (g/f) (-3)

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Answers (1)
  1. 11 September, 02:28
    0
    f (x) = - x³ + 4x

    g (x) = x + 3

    A. (g + g) (-2) = (-2 + 3) + (-2 + 3)

    (g + g) (-2) = 1 + 1

    (g + g) (-2) = 2

    B. (f - g) (0) = ( - (0) ³ + 4 (0)) - (0 + 3)

    (f - g) (0) = (0 + 0) - 3

    (f - g) (0) = 0 - 3

    (f - g) (0) = - 3

    C. (g · f) (1) = (1 + 3) ( - (1) ³ + 4 (1))

    (g · f) (1) = (4) (-1 + 4)

    (g · f) (1) = (4) (3)

    (g · f) (1) = 12

    D. (g/f) (-3) = (-3 + 3) / ( - (-3) ³ + 4 (-3))

    (g/f) (-3) = 0 / ( - (-27) - 12)

    (g/f) (-3) = 0 / (27 - 12)

    (g/f) (-3) = 0/15

    (g/f) (-3) = 0
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