Jawaban:
jawabannya e. 1
Penjelasan dengan langkah-langkah:
f(x) = 2x-5
g(x) = 3x+4
karena h^-1 = (g°f)^-1 (x) = (f^-1 ° g^-1 ) (x)
(g°f)^-1 (x) = g(f(x)) = 3(2x-5) +4
= 6x-15+4
= 6x-11
y= 6x-11
6x= y +11
x = (y +11) /6
(f^-1 ° g^-1 ) (x) = (x+11) /6
sehingga
(f^-1 ° g^-1 ) (-5)
= (-5+11) /6
= 6 / 6
= 1
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Jawaban:
jawabannya e. 1
Penjelasan dengan langkah-langkah:
f(x) = 2x-5
g(x) = 3x+4
karena h^-1 = (g°f)^-1 (x) = (f^-1 ° g^-1 ) (x)
(g°f)^-1 (x) = g(f(x)) = 3(2x-5) +4
= 6x-15+4
= 6x-11
y= 6x-11
6x= y +11
x = (y +11) /6
(f^-1 ° g^-1 ) (x) = (x+11) /6
sehingga
(f^-1 ° g^-1 ) (-5)
= (-5+11) /6
= 6 / 6
= 1