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8 November, 06:51

If F (x) = 3x-1 and g (x) = 2x+5

a. (F o g) (x)

b. (g o f) (x)

c. (f o g) (-2)

d. (g o f) (-2)

+3
Answers (1)
  1. 8 November, 07:04
    0
    (fog) (x) = f (g (x)) = 3*g (x) - 1 = 3 (2x+5) - 1 = 6x + 15 - 1 = 6x + 14;

    (gof) (x) = g (f (x)) = 2 * f (x) + 5 = 2 (3x-1) + 5 = 6x-2 + 5 = 6x + 3;

    (fog) (-2) = 6 * (-2) + 14 = - 12 + 14 = 2;

    (gof) (-2) = 6 * (-2) + 3 = - 12 + 3 = - 9.
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