Fungsi f dan g dinyatakan dalam pasangan terurut, tentukan (g∘f) dan (f∘g) dari fungsi f dan g berikut : c. f={(−1, 3), (0, −1), (1, 2), (4, 7)}g={(2, 1), (3, 4), (6, −1), (7, 0)}

Pertanyaan

Fungsi f dan g dinyatakan dalam pasangan terurut, tentukan open parentheses g ring operator f close parentheses dan open parentheses f ring operator g close parentheses dari fungsi f dan g berikut :

c. f equals open curly brackets open parentheses negative 1 comma space 3 close parentheses comma space open parentheses 0 comma space minus 1 close parentheses comma space open parentheses 1 comma space 2 close parentheses comma space open parentheses 4 comma space 7 close parentheses close curly brackets g equals open curly brackets open parentheses 2 comma space 1 close parentheses comma space open parentheses 3 comma space 4 close parentheses comma space open parentheses 6 comma space minus 1 close parentheses comma space open parentheses 7 comma space 0 close parentheses close curly brackets

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Pembahasan

Pada diagram,

open parentheses g ring operator f close parentheses left parenthesis x right parenthesis equals g left parenthesis f left parenthesis x right parenthesis right parenthesis rightwards double arrow g left parenthesis f left parenthesis negative 1 right parenthesis right parenthesis equals g left parenthesis 3 right parenthesis equals 4 rightwards arrow left parenthesis negative 1 comma space 4 right parenthesis rightwards double arrow g left parenthesis f left parenthesis 0 right parenthesis right parenthesis equals g left parenthesis negative 1 right parenthesis equals negative rightwards double arrow g left parenthesis f left parenthesis 1 right parenthesis right parenthesis equals g left parenthesis 2 right parenthesis equals 1 rightwards arrow open parentheses 1 comma space 1 close parentheses rightwards double arrow g left parenthesis f left parenthesis 4 right parenthesis right parenthesis equals g left parenthesis 7 right parenthesis equals 0 rightwards arrow left parenthesis 4 comma space 0 right parenthesis  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 rightwards double arrow f open parentheses g open parentheses 2 close parentheses close parentheses equals f open parentheses 1 close parentheses equals 2 rightwards arrow open parentheses 2 comma space 2 close parentheses rightwards double arrow f open parentheses g open parentheses 3 close parentheses close parentheses equals f open parentheses 4 close parentheses equals 7 rightwards arrow open parentheses 3 comma space 7 close parentheses rightwards double arrow f open parentheses g open parentheses 6 close parentheses close parentheses equals f open parentheses negative 1 close parentheses equals 3 rightwards arrow open parentheses 6 comma space 3 close parentheses rightwards double arrow f open parentheses g open parentheses 7 close parentheses close parentheses equals f open parentheses 0 close parentheses equals negative 1 rightwards arrow open parentheses 7 comma space minus 1 close parentheses

Jadi, Himpunan pasangan terurut :

g ring operator f equals open curly brackets open parentheses negative 1 comma space 4 close parentheses comma space open parentheses 1 comma space 1 close parentheses comma space open parentheses 4 comma space 0 close parentheses close curly brackets f ring operator g equals left curly bracket left parenthesis 2 comma space 2 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis comma space open parentheses 6 comma space 3 close parentheses comma space open parentheses 7 comma space minus 1 close parentheses right curly bracket

21

0.0 (0 rating)

Pertanyaan serupa

Diketahui fungsi f(x)=2x−1 dan g(x)=3x2−x+5. Fungsi komposisi (gof)(x) = .....

1rb+

3.8

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

Fitur Roboguru

Topik Roboguru

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