Roboguru

Diketahui  dan , dan . Rumus komposisi fungsi   = ...

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals x squared plus 3 x minus 1 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 2 x plus 5 end style, dan begin mathsize 14px style h open parentheses x close parentheses equals 1 minus x end style. Rumus komposisi fungsi  begin mathsize 14px style open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end style = ... 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses 1 minus x close parentheses close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses open parentheses 1 minus x close parentheses squared plus 3 open parentheses 1 minus x close parentheses minus 1 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses 1 minus 2 x plus x squared plus 3 minus 3 x minus 1 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses x squared minus 5 x plus 3 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 open parentheses x squared minus 5 x plus 3 close parentheses plus 5 end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 x squared minus 10 x plus 6 plus 5 end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 x squared minus 10 x plus 11 end cell end table end style

Jadi, Rumus komposisi fungsi  begin mathsize 14px style open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end style adalah begin mathsize 14px style 2 x squared minus 10 x plus 11 end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

Ruangguru

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

Ikuti Kami

©2021 Ruangguru. All Rights Reserved