Roboguru

Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals 3 x plus 1 end style dan begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 6 x squared plus 9 x plus 4 end style, tentukan nilai size 14px g begin mathsize 14px style left parenthesis x right parenthesis end style !

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

  nilai size 14px g begin mathsize 14px style left parenthesis x right parenthesis end style adalah begin mathsize 14px style g open parentheses x close parentheses equals 2 x squared plus 3 x plus 1 end style .

Pembahasan

Ingat kembali komposisi dua fungsi

open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses 

Perhatikan perhitungan berikut!

table attributes columnalign right center left columnspacing 0px end attributes row blank blank blank row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell 6 x squared plus 9 x plus 4 end cell row cell f open parentheses g open parentheses x close parentheses close parentheses end cell equals cell space 6 x squared plus 9 x plus 4 end cell row cell 3 times g open parentheses x close parentheses plus 1 end cell equals cell 6 x squared plus 9 x plus 4 end cell row cell 3 times g open parentheses x close parentheses end cell equals cell 6 x squared plus 9 x plus 4 minus 1 end cell row cell 3 times g open parentheses x close parentheses end cell equals cell 6 x squared plus 9 x plus 3 end cell row cell g open parentheses x close parentheses end cell equals cell fraction numerator 6 x squared plus 9 x plus 3 over denominator 3 end fraction end cell row cell g open parentheses x close parentheses end cell equals cell 2 x squared plus 3 x plus 1 end cell end table 

Dengan demikian,  nilai size 14px g begin mathsize 14px style left parenthesis x right parenthesis end style adalah begin mathsize 14px style g open parentheses x close parentheses equals 2 x squared plus 3 x plus 1 end style .

32

0.0 (0 rating)

Pertanyaan serupa

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

25

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