Mathématiques

Question

je ne compris pas ce exercice m'aident s'il vous plaît​
je ne compris pas ce exercice m'aident s'il vous plaît​

1 Réponse

  • Bonjour,

    1)a• f(0) = 3 ; f(1) = 5 ; f(-4) = -5

    g(0) = 0 ; g(1) = -1 ; g(-4) = 4

    1)b• f(0) = 3 ; f(-4) = - 5 ; f(1) = 5

    g(-3) = 3 ; g(5) = -5 ; g(-5) = 5

    2) f(-1) = g(-1)

    S = {-1}

    3) f(x) = 2x + 3 et g(x) = -x

    4)

    Vérification :

    Question 1)a :

    f(0) = 2×0 + 3 = 3 ; f(1) = 2×1 + 3 = 5 ; f(-4) = 2×(-4) + 3 = -5

    g(0) = -0 = 0 ; g(1) = -1 ; g(-4) = -4

    Question 1)b :

    f(x) = 3 => 2x + 3 = 3 => 2x = 0 => x = 0

    f(x) = -5 => 2x + 3 = -5 => 2x = -8 => x = -4

    f(x) = 5 => 2x + 3 = 5 => 2x = 2 => x = 1

    g(x) = 3 => -x = 3 => x = -3

    g(x) = -5 => -x = -5 => x = 5

    g(x) = 5 => -x = 5 => x = -5

    Question 2 :

    f(x) = g(x)

    2x + 3 = -x

    2x + x = -3

    3x = -3

    x = -3/3

    x = -1

    On a bien f(x) = g(x) pour x = -1.