Diketahui (fog)(x)= -x3+2x+1 dan f-1(x)= 4-x, maka nilai (gof)(-3) sama dengan....
Matematika
nabil364
Pertanyaan
Diketahui (fog)(x)= -x3+2x+1 dan f-1(x)= 4-x, maka nilai (gof)(-3) sama dengan....
1 Jawaban
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1. Jawaban dewa251202
f-¹(x) = 4 - x
x = 4 - y
y = 4 - x
f(x) = 4 - x
(f ○ g)(x) = f(g(x))
-x³ + 2x + 1 = 4 - g(x)
g(x) = x³ - 2x + 4 - 1
g(x) = x³ - 2x + 3
f(-3)
= 4 - (-3)
= 7
(g ○ f)(-3)
= g(f(-3))
= 7³ - 2(7) + 3
= 343 - 14 + 3
= 332