Iklan

Iklan

Pertanyaan

Jika f ( x ) = 3 x + 4 2 x − 1 ​ d an g ( x ) = 2 x + 2 ​ , maka ni l ai ( f ∘ g ) − 1 ( − 1 ) =...

Jika =...

  1. negative 31 over 5

  2. negative 30 over 5

  3. negative 29 over 5

  4. negative 28 over 5

  5. negative 27 over 5

Iklan

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Iklan

Pembahasan

Penyelesaian:

Penyelesaian:

f left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction space d a n space g left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator 2 end fraction  left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis  equals f open parentheses fraction numerator x plus 5 over denominator 2 end fraction close parentheses  equals 2 fraction numerator open parentheses begin display style fraction numerator x plus 5 over denominator 2 end fraction end style close parentheses minus 1 over denominator x open parentheses begin display style fraction numerator x plus 5 over denominator 2 end fraction end style close parentheses plus 4 end fraction  equals fraction numerator x plus 5 minus 1 over denominator begin display style fraction numerator 3 x plus 15 plus 8 over denominator 2 end fraction end style end fraction equals fraction numerator x plus 4 over denominator begin display style fraction numerator 3 x plus 23 over denominator 2 end fraction end style end fraction equals fraction numerator 2 x plus 8 over denominator 3 x plus 23 end fraction  left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction equals fraction numerator negative 23 plus 8 over denominator 3 x minus 2 end fraction  left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis negative 1 right parenthesis equals fraction numerator negative 23 left parenthesis negative 1 right parenthesis plus 8 over denominator 3 left parenthesis negative 1 right parenthesis minus 2 end fraction  equals fraction numerator 23 plus 8 over denominator negative 3 minus 2 end fraction equals negative 31 over 5

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

10

Iklan

Iklan

Pertanyaan serupa

Jika f dan g adalah fungsi dalam R dengan f ( x ) = x + 5 dan g ( x ) = 3 x + 4 , tentukan: d. ( g ∘ f ) − 1 ( 0 )

13

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia