Roboguru
SD

Diketahui fungsi f(x)=2x+1 dan g(x)=x2. Tentukan (f∘f)(x)..

Pertanyaan

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 1 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared end style. Tentukan begin mathsize 14px style open parentheses f ring operator f close parentheses open parentheses x close parentheses end style..

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Jawaban

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f ring operator f right parenthesis left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table end style.

Pembahasan

Ingat bahwa, begin mathsize 14px style 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 end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis f open parentheses x close parentheses right parenthesis end cell row blank equals cell f left parenthesis 2 x plus 1 right parenthesis end cell row blank equals cell 2 open parentheses 2 x plus 1 close parentheses plus 1 end cell row blank equals cell 4 x plus 2 plus 1 end cell row blank equals cell 4 x plus 3 end cell end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f ring operator f right parenthesis left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table end style.

32

5.0 (2 rating)

Pertanyaan serupa

Diketahui f(x)=2x−3; g(x)=x2+x−3; dan h(x)=x+2. Tentukan rumus fungsi dari f∘g(x) dan h∘g(x).

31

4.0

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