jika diketahui fog(x)=-x3+2x+1 dan f-1(x)=4-x, maka gof(-3)=...?
Matematika
rizkiwuri
Pertanyaan
jika diketahui fog(x)=-x3+2x+1 dan f-1(x)=4-x, maka gof(-3)=...?
1 Jawaban
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1. Jawaban arfianseptian
f-1 (x) = 4 - x
f(x) = 4 - x
(fog)(x) = -x³ + 2x + 1
f(g(x)) = -x³ + 2x + 1
4 - g(x) = -x³ + 2x + 1
g(x) = x³ - 2x + 3
(gof)(-3) = g(f(-3)) = g(4 - (-3)) = g(7) = 7³ - 2.7 + 3 = 332