Tentukan komposisi fog (x) dari f(x) =18xkuadrat +24x +2 dan fungsi g(x)=2x kuadrat -6

By Admin ReiPosted on December 5, 2022

Tentukan komposisi fog (x) dari f(x) =18xkuadrat +24x +2 dan fungsi g(x)=2x kuadrat -6

$f(x) = 18 {x}^{2} + 24x + 2 \ g(x) = 2 {x}^{2} - 6 \ \ f : o : g(x) \ = f(g(x)) \ = f(2 {x}^{2} - 6) \ = 18( {2 {x}^{2} - 6})^{2} + 24(2 {x}^{2} - 6) + 2 \ = 18(4 {x}^{4} - 24 {x}^{2} + 36) + 48 {x}^{2} - 144 + 2 \ = 74 {x}^{4} - 432 {x}^{2} + 648 + 48 {x}^{2} - 142 \ = 74 {x}^{4} - 384 {x}^{2} + 506$

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