diketahui f(×)=2×-1 dan g(×)=3×+5 tentukan a.(fog)^-1(×) b.(gof)^-1(×) c.fog)-1(1) d.(gof)^-1(-2)
Matematika
utaryaprili
Pertanyaan
diketahui f(×)=2×-1 dan g(×)=3×+5 tentukan a.(fog)^-1(×) b.(gof)^-1(×) c.fog)-1(1) d.(gof)^-1(-2)
1 Jawaban
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1. Jawaban EdiHeaven
diketahui f(×)=2×-1 dan g(×)=3×+5 tentukan
a.(fog)^-1(×)
y = 2(3x+5)-1
y = 6x + 9
6x = y -9
x= y-9 / 6
(fog)-¹(x) = x-9 / 6
b.(gof)^-1(×)
y = 3(2x-1)+5
y=6x+2
6x=y-2
x= y-2 / 6
(gof)-¹(x)= x+2 / 6
c.fog)-1(1)
= 1-9 / 6
=-8/6
=-4/3
d.(gof)^-1(-2)
=-2+2 / 6
=0/6
=0