RoboguruRoboguru
SD

Jika f∘g(x)=3x−4, dan f(x)=2x+6, tentukan nilai dari g(2)!

Pertanyaan

Jika begin mathsize 14px style f ring operator g left parenthesis x right parenthesis equals 3 x minus 4 end style, dan begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 6 end style, tentukan nilai dari begin mathsize 14px style g left parenthesis 2 right parenthesis end style!

R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Diketahui begin mathsize 14px style f ring operator g open parentheses x close parentheses equals 3 x minus 4 end style dan begin mathsize 14px style f open parentheses x close parentheses equals 2 x plus 6 end style.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f ring operator g left parenthesis x right parenthesis end cell equals cell 3 x minus 4 end cell row cell space f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 3 x minus 4 end cell row cell space 2 g left parenthesis x right parenthesis plus 6 end cell equals cell 3 x minus 4 space end cell row cell 2 g left parenthesis x right parenthesis end cell equals cell 3 x minus 4 minus 6 space end cell row cell 2 g left parenthesis x right parenthesis end cell equals cell 3 x minus 10 end cell row cell space g left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x minus 10 over denominator 2 end fraction end cell end table end style 

Diperoleh begin mathsize 14px style g open parentheses x close parentheses equals fraction numerator 3 x minus 10 over denominator 2 end fraction end style maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis 2 right parenthesis end cell equals cell fraction numerator 3.2 minus 10 over denominator 2 end fraction space end cell row cell g left parenthesis 2 right parenthesis end cell equals cell fraction numerator 6 minus 10 over denominator 2 end fraction space end cell row cell g left parenthesis 2 right parenthesis end cell equals cell fraction numerator negative 4 over denominator 2 end fraction space end cell row cell g left parenthesis 2 right parenthesis end cell equals cell negative 2 end cell end table end style 

Dengan demikian, nilai dari begin mathsize 14px style g left parenthesis 2 right parenthesis end style adalah begin mathsize 14px style negative 2 end style.

 

30

5.0 (2 rating)

Pertanyaan serupa

Jika diketahui fungsi f(x)=2x2−4x+3 dan (f∘g)(x)=2x2+8x+9, rumus fungsi g(x) adalah ...

69

5.0

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

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia