F(x) = 3x+4 dan g(x) = x-1 Tentukan (gof) dan (fog) f^-1 dan g^-1, (gof)^-1 dan (fog) ^-1
Matematika
fiiyaaginting
Pertanyaan
F(x) = 3x+4 dan g(x) = x-1
Tentukan (gof) dan (fog)
f^-1 dan g^-1,
(gof)^-1 dan (fog) ^-1
Tentukan (gof) dan (fog)
f^-1 dan g^-1,
(gof)^-1 dan (fog) ^-1
1 Jawaban
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1. Jawaban 4452mot
f(x) = 3x +4
g(x) = x-1
a) (gof) (x) = (3x+4) -1
= 3x +3
b) (fog) = 3(x-1)+4
= 3x-3 +4
= 3x + 1
c) f(x) = 3x +4
y = 3x +4
x =( y - 4 ) /3
f-¹(x) = (x-4)/3
d) g(x) = x-1
y= x-1
x = y+1
g-¹(x) = x + 1
e) (gof)(x) = 3x + 3
y= 3x +3
x = (y-3) /3
(gof) -¹= (x-3) /3
f) (fog) (x) = 3x + 1
y = 3x +1
x = (y-1) /3
(fog) -¹(x) = (x-1) /3