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11 January, 20:16

For the given functions f and g, find the requested composite function value.

f (x) = 17x2 - 9x, g (x) = 12x - 9; Find (f ∘ g) (11).

A. 232,599

B. 256,086

C. 23,487

D. 240,834

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Answers (1)
  1. 11 January, 20:39
    0
    B. 256,086

    Step-by-step explanation:

    Given two function

    f (x) = 17x² - 9x, g (x) = 12x - 9;

    fg can also be written as fg (x)

    Since g (x) = 12x-9

    fg (x) = f (12x-9)

    This means that the variable x in f (x) will be replaced as 12x-9

    If f (x) = 17x²-9x

    f (12x-9) = 17 (12x-9) ²-9 (12x-9)

    fg (x) = 17 (12x-9) ²-9 (12x-9)

    fg (x) at x = 11 will give:

    fg (x) (11) = 17{12 (11) - 9}²-9{12 (11) - 9}

    fg (x) (11) = 17 (132-9) ²-9 (132-9)

    fg (x) (11) = 17 (123) ² - 9 (123)

    fg (x) (11) = 17 (15129) - 1107

    f{g (x) } (11) = 257193-1107

    f{g (x) } (11) = 256,086
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