Roboguru

Tentukan fungsi , jika , , dan .

Tentukan fungsi begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses end style, jika begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 6 end style, begin mathsize 14px style g left parenthesis x right parenthesis equals 2 x squared minus 4 end style, dan begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator x end fraction comma space x not equal to 0 end style.

Jawaban:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 6 end style, begin mathsize 14px style g left parenthesis x right parenthesis equals 2 x squared minus 4 end style, dan begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator x end fraction comma space x not equal to 0 end style. Akan dicari begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end cell equals cell f open parentheses g open parentheses h open parentheses x close parentheses close parentheses close parentheses end cell row blank equals cell f open parentheses g open parentheses fraction numerator x plus 3 over denominator x end fraction close parentheses close parentheses end cell row blank equals cell f open parentheses 2 open parentheses fraction numerator x plus 3 over denominator x end fraction close parentheses squared minus 4 close parentheses end cell row blank equals cell f open parentheses 2 open parentheses fraction numerator x squared plus 6 x plus 9 over denominator x squared end fraction close parentheses minus 4 close parentheses end cell row blank equals cell f open parentheses fraction numerator 2 x squared plus 12 x plus 18 minus 4 x squared over denominator x squared end fraction close parentheses end cell row blank equals cell f open parentheses fraction numerator negative 2 x squared plus 12 x plus 18 over denominator x squared end fraction close parentheses end cell row blank equals cell 3 open parentheses fraction numerator negative 2 x squared plus 12 x plus 18 over denominator x squared end fraction close parentheses plus 6 end cell row blank equals cell fraction numerator negative 6 x squared plus 36 x plus 54 over denominator x squared end fraction plus 6 end cell row blank equals cell fraction numerator negative 6 x squared plus 36 x plus 54 plus 6 x squared over denominator x squared end fraction end cell row blank equals cell fraction numerator 36 x plus 54 over denominator x squared end fraction end cell end table end style 


Jadi, diperoleh begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses left parenthesis x right parenthesis equals fraction numerator 36 x plus 54 over denominator x squared end fraction end style.

0

Ruangguru

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Download di Google Play

Download di Appstore

Produk Ruangguru

Produk Lainnya

  • Brain Academy Online
  • English AcademyBaru
  • Skill Academy
  • Ruangkerja

Bantuan & Panduan

Hubungi Kami

Ruangguru WhatsApp

081578200000

[email protected]

02140008000

Ikuti Kami

©2021 Ruangguru. All Rights Reserved