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12 April, 21:49

Preciso de ajudaa! Resolução também! - Considere as funções f e g tais que f (x) = x³+1 e g (x) = x-2 Determine: a) (fog) (0) b) (gof) (0) c) (fof) (1) d) (gog) (1)

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  1. 12 April, 22:18
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    (fog) (x) means that we have the function f (x) evaluated in the function g (x), or f (g (x)).

    So, if f (x) = x^3 + 1 and g (x) = x - 2.

    we have:

    a) (fog) (0) = f (g (0)) = (0 - 2) ^3 + 1 = - 8 + 1 = - 7

    b) (gof) (0) = g (f (0)) = (0^3 + 1) - 2 = - 1

    c) (fof) (1) = f (f (1)) = (1^3 + 1) ^3 + 1 = 2^3 + 1 = 8 + 1 = 9

    d) (gog) (1) = g (g (1)) = (1 - 2) - 2 = - 1 - 2 = - 3
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