Question

(+50) KuMat - Kuis Matematika
Materi: Fungsi Komposisi dan Fungsi Invers

Diberikan fungsi-fungsi berikut ini.
[tex]\begin{aligned}f(x) &= x\\a(x) &= f^{-1}(x)\\b(x) &= a^{-1}(x)\\c(x) &= b^{-1}(x)\\d(x) &= c^{-1}(x)\\e(x) &= d^{-1}(x)\\\end{aligned}[/tex]
Tentukan hasil dari:
[tex]\large\text{$\begin{aligned}a\left ( b\left ( c\left ( d\left ( e\left ( f\left ( x \right ) \right ) \right ) \right ) \right ) \right )\end{aligned}$}[/tex]

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Inspirasi: Kuis oleh @xvci
https://brainly.co.id/tugas/51138301

Answer 1

》Fungsi Invers

f(x) = x

f^-1(x) = x

a(x) = x

a^-1(x) = x

b(x) = x

b^-1(x) = x

c(x) = x

c^-1(x) = x

d(x) = x

d^-1(x) = x

e(x) = x

Maka,

= a(b(c(d(e(f(x)))))

= a(b(c(d(e(x)))))

= a(b(c(d(x))))

= a(b(c(x)))

= a(b(x))

= a(x)

= x

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