Jika f(x) =5^x dam g(x) =x^2+3,untuk xtidak sama dengan0 maka f^-1(g(x^2)-3)
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Pertanyaan
Jika f(x) =5^x dam g(x) =x^2+3,untuk xtidak sama dengan0 maka f^-1(g(x^2)-3)
1 Jawaban
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1. Jawaban alvinteguh
f(x) = 5^x
g(x) = x² + 3
g(x²) - 3
= (x²)² + 3 - 3
= x^4
f^-1(g(x²) - 3) = f^-1(x^4)
f(x^4) = 5^(x^4)
y = 5^(x^4)
^5 log y = x^4
(^5 log y)^(1/4) = x
(^5 log x)^(1/4) = f^-1(g(x²) - 3)