1. f(×) = 3× - 2 g(×) = ×/ × - 1 Tentukan : a. (f°g) (×) =.... b. (f°g)-1 (×)=......
Matematika
gexdian2
Pertanyaan
1. f(×) = 3× - 2
g(×) = ×/ × - 1
Tentukan :
a. (f°g) (×) =....
b. (f°g)-1 (×)=......
g(×) = ×/ × - 1
Tentukan :
a. (f°g) (×) =....
b. (f°g)-1 (×)=......
1 Jawaban
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1. Jawaban EdiHeaven
f(x) = 3x-2
g(x ) = x / x - 1
a. (fog) (x) = 3(g(x))-2
= 3(x / x-1) - 2
= 3x-2(x-1) /x-1
= 3x-2x+2 / x-1
= x+2 / x-1
b.
(fog)(x) = x+2 / x-1
y=x+2 / x-1
y(x-1)=x+2
xy-y=x+2
xy-x=y+2
x(y-1)=y+2
x=y+2 / y-1
(fog)^-1(x) = x+2 / x-1