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Pertanyaan

Fungsi f : R → R d an g : R → R dinyatakan oleh f ( x ) = x − 3 x + 2 ​ , x  = 3 d an g ( x ) = x + 4. , Invers fungsi ( f ∘ g ) ( x ) a d a l ah ( f ∘ g ) − 1 ( x ) = ....

Fungsi dinyatakan oleh , Invers fungsi

  1. fraction numerator negative x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1

  2. fraction numerator negative x minus 6 over denominator x minus 1 end fraction comma space x not equal to 1

  3. fraction numerator negative x plus 6 over denominator x plus 1 end fraction comma space x not equal to negative 1

  4. fraction numerator x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1

  5. fraction numerator x plus 6 over denominator x plus 1 end fraction comma space x not equal to negative 1

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

Ingat kembali cara cepat invers fungsi berikut: Maka,

Ingat kembali cara cepat invers fungsi berikut:

f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards double arrow f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction

Maka,

open parentheses f ring operator g close parentheses open parentheses x close parentheses equals fraction numerator x plus 6 over denominator x plus 1 end fraction rightwards double arrow open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative x plus 6 over denominator x minus 1 end fraction comma space x not equal to 1

Fungsi Komposisi

Fungsi Invers

Invers Fungsi Komposisi

Latihan Soal Fungsi Komposisi dan Invers

Latihan Bab

87

Edita Titi

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Asni Alya Maltami

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Diketahui fungsi f ( x ) = 3 + 2 x , g ( x ) = x + 4 3 x − 1 ​ , x  = − 4 . Invers dari ( f ∘ g ) ( x ) = ...

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