jika f-¹(x)= x-1/5 dan g-¹(x)=3x-1/2 maka (f°g)-¹(6)=
Matematika
auliaelfiani22
Pertanyaan
jika f-¹(x)= x-1/5 dan g-¹(x)=3x-1/2 maka (f°g)-¹(6)=
1 Jawaban
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1. Jawaban vennyaar21
f–1(x)=x-1/5
g–1(x)= 3x-1/2
(f°g)–1(6)..?
(f°g)–1(x)= (g–1°f–1) (x)
= g–1(f–1(x))
=g–1(x-1/5)
=3(x-1/5)-1 /2
=(3x-3/5)-1 /2
=(3x-3-5/5) /2
=(3x-8/5)/2
=3x-8/5 X 1/2
=3x-8/10
= 3x-4/5
(F°g)–1(6)= 3.6-4/5
=14/5