Bonsoir
Sachant que :
f(3) = g(-5) = h(1) = 15, déterminer les coefficients de ces 3 fonctions :
f(x) = ax => a * 3 = 15 => a = 15/3 => a = 5
f(x) = 5x
g(x) = bx => b * (-5) = 15 => b = 15/(-5) => b = -3
g(x) = -3x
h(x) = cx => c * 1 = 15 => c = 15/1 => c = 15
h(x) = 15x
Compléter :
f(5) = 5 * 5 = 25
g(...) = 30 => -3x = 30 => x = 30/(-3) => x = -10
g(-10) = 30
h(...) = 5 => 15x = 5 => x = 5/15 => x = 1/3
h(1/3) = 5
g(6) = -3 * 6 = -18
h(...) = -30 => 15x = -30 => x = -30/15 => x = -2
h(-2) = -30
f(...) = 2 => 5x = 2 => x = 2/5
f(2/5) = 2
h(-2) = 15 * (-2) = -30
f(...) = 30 => 5x = 30 => x = 30/5 => x = 6
g(...) = -4 => -3x = -4 => x = -4/(-3) => x = 4/3
