Roboguru

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x minus 3 comma space g left parenthesis x right parenthesis equals x squared plus x minus 3 comma space dan space h left parenthesis x right parenthesis equals x plus 2 end style tentukan

1. Tentukan rumus fungsi dari begin mathsize 14px style f ring operator g left parenthesis x right parenthesis space dan space h ring operator g left parenthesis x right parenthesis end style 

2. Tentukan rumus fungsi dari begin mathsize 14px style f ring operator g left parenthesis 1 right parenthesis space dan space h ring operator g left parenthesis negative 3 right parenthesis end style 

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai dari rumus fungsi begin mathsize 14px style h ring operator g left parenthesis negative 3 right parenthesis end style adalah undefined.

Pembahasan

Fungsi komposisi merupakan suatu penggabungan dari suatu operasi dua jenis fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style dan  begin mathsize 14px style g left parenthesis x right parenthesis end style sehingga mampu menghasilkan suatu fungsi baru.

  • Rumus fungsi begin mathsize 14px style f ring operator g left parenthesis x right parenthesis end style 

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 f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell 2 left parenthesis x squared plus x minus 3 right parenthesis minus 3 end cell row blank equals cell 2 x squared plus 2 x minus 6 minus 3 end cell row blank equals cell 2 x squared plus 2 x minus 9 end cell end table end style

Sehingga rumus fungsi begin mathsize 14px style f ring operator g left parenthesis x right parenthesis end style adalah begin mathsize 14px style 2 x squared plus 2 x minus 9 end style.

  • Rumus fungsi begin mathsize 14px style f ring operator g left parenthesis 1 right parenthesis end style 

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 2 x squared plus 2 x minus 9 end cell row cell f ring operator g left parenthesis 1 right parenthesis end cell equals cell 2 left parenthesis 1 right parenthesis squared plus 2 left parenthesis 1 right parenthesis minus 9 end cell row blank equals cell 2 plus 2 minus 9 end cell row blank equals cell negative 5 end cell end table end style 

Sehingga nilai dari rumus fungsi begin mathsize 14px style f ring operator g left parenthesis 1 right parenthesis end style adalah begin mathsize 14px style negative 5 end style

  • Rumus fungsi begin mathsize 14px style h ring operator g left parenthesis x right parenthesis end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h ring operator g left parenthesis x right parenthesis end cell equals cell h left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell left parenthesis x squared plus x minus 3 right parenthesis plus 2 end cell row blank equals cell x squared plus x minus 1 end cell end table end style

Sehingga rumus fungsi begin mathsize 14px style h ring operator g left parenthesis x right parenthesis end style adalah begin mathsize 14px style x squared plus x minus 1 end style

  • Rumus fungsi begin mathsize 14px style h ring operator g left parenthesis negative 3 right parenthesis end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h ring operator g left parenthesis x right parenthesis end cell equals cell x squared plus x minus 1 end cell row cell h ring operator g left parenthesis negative 3 right parenthesis end cell equals cell left parenthesis negative 3 right parenthesis squared plus left parenthesis negative 3 right parenthesis minus 1 end cell row blank equals cell 9 minus 3 minus 1 end cell row blank equals 5 end table end style 

Sehingga nilai dari rumus fungsi begin mathsize 14px style h ring operator g left parenthesis negative 3 right parenthesis end style adalah undefined.

28

0.0 (0 rating)

Pertanyaan serupa

Diketahui dua fungsi f(x)=2x+1 dan g(x)=x2−2x+2. Tentukan : a. f∘g(x)  b. g∘f(x)   c. f∘f(x)

10

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 Ruangguru

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