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4 March, 02:16

If f (x) = 3x^2 and g (x) = 2x+2, find

a) f (g (x)

b) fg (2)

c) gf (x)

+1
Answers (2)
  1. 4 March, 02:22
    0
    Step-by-step explanation:

    hello:

    f (x) = 3x² and g (x) = 2x+2

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

    b) f (g (2)) = 3 (2 (2) + 2) ² = 108

    c) g (f (x)) = g (3x²) = 2 (3x²) + 2=6x²+2
  2. 4 March, 02:41
    0
    see explanation

    Step-by-step explanation:

    (a)

    f (g (x)) = f (2x + 2) = 3 (2x + 2) ² = 3 (4x² + 8x + 4) = 12x² + 24x + 12

    (b)

    Substitute x = 2 into f (g (x)), that is

    f (g (2)) = 12 (2) ² + 24 (2) + 12 = 12 (4) + 48 + 12 = 48 + 48 + 12 = 108

    (c)

    g (f (x)) = g (3x²) = 2 (3x²) + 2 = 6x² + 2
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