f(x)= x2-4x+6 g(x)= 3x-5 jika (gof)(x) = 13, tentukan x
Matematika
sadyanti
Pertanyaan
f(x)= x2-4x+6
g(x)= 3x-5
jika (gof)(x) = 13, tentukan x
g(x)= 3x-5
jika (gof)(x) = 13, tentukan x
2 Jawaban
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1. Jawaban dindafitrian
(gof)(x): (g(fog))(x)
(13)(x): ( 3x(4x+6)-5)
13(x) :12x"+18x-5
(x) 12x"+18x-5-13
12x"+18x-18 -
2. Jawaban xkuadratz
f(x)= x²-4x+6 g(x)= 3x-5
(gof)(x) = 13
g(f(x)) = 13
g(x²-4x+6) = 13
3(x²-4x+6)-5 = 13
3(x²-4x+6) = 13+5
3(x²-4x+6) = 18
(x²-4x+6) = 6
x²-4x+6-6 = 0
x²-4x = 0
x(x-4) = 0
x = 0 atau x-4 = 0
x =4