jika f(x) = x+2 dan (fog)(x) = 2x^2+4x+1,maka g(2x)
Matematika
shella230
Pertanyaan
jika f(x) = x+2 dan (fog)(x) = 2x^2+4x+1,maka g(2x)
1 Jawaban
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1. Jawaban EvaTS1
f(x) = x+2
f(g(x)) = g(x)+2
(fog)(x) = 2x^2+4x+1
f(g(x)) = 2x^2+4x+1
g(x)+2 = 2x^2+4x+1
g(x)+2 = 2(x)^2+4(x)+1
g(x) = 2(x)^2+4(x)+1-2
g(x) = 2(x)^2+4(x)-1
g(2x) = 2(2x)^2+4(2x)-1
g(2x) = 2.4x^2+8x-1
g(2x) = 8x^2+8x-1