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16 January, 14:20

A. Evaluate the following showing steps as indicated in the lesson content.

1. f (x) = 15x - 12 and g (x) = - 15x^2 + 14x - 10

find g (f (7))

2. f (x) = - 13x^2 - 13x + 14 and g (x) = - 13x - 11

find g (g (3))

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Answers (1)
  1. 16 January, 14:32
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    1) g (f (7)) is - 128443 and

    2) g (g (3)) is - 661

    Step-by-step explanation:

    1) find g (f (7)):

    f (x) = 15x - 12 g (x) = - 15x^2 + 14x - 10

    Step 1:

    To find f (7), substitute x=7 in the given f (x),

    f (7) = 15 (7) - 12

    f (7) = 105 - 12

    f (7) = 93

    Step 2:

    To find g (f (7)), substitute f (7) = 93 in the given g (x),

    g (f (7)) = - 15 (93) ²+14 (93) - 10

    ⇒ - 129735 + 1302 - 10

    ⇒ - 129745 + 1302

    ⇒ - 128443

    Therefore, g (f (7)) = - 128443

    2) find g (g (3)):

    f (x) = - 13x^2 - 13x + 14 g (x) = - 13x - 11

    Step 1:

    To find g (3), substitute x=3 in the given g (x),

    g (3) = - 13 (3) - 11

    g (3) = - 39 - 11

    g (3) = 50

    Step 2:

    To find g (g (3)), substitute g (3) = 50 in the given g (x),

    g (g (3)) = - 13 (50) - 11

    ⇒ - 650 - 11

    ⇒ - 661

    Therefore, g (g (3)) = - 661
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