Roboguru

Diketahui ,  dan . Rumus komposisi

Pertanyaan

Diketahui f left parenthesis x right parenthesis equals 4 x minus 1g open parentheses x close parentheses equals fraction numerator x plus 3 over denominator 2 x end fraction comma space x not equal to 0 dan h left parenthesis x right parenthesis equals x plus 9. Rumus komposisi open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses equals...  

Pembahasan Soal:

g open parentheses x close parentheses equals fraction numerator x plus 3 over denominator 2 x end fraction comma space x not equal to 0 dan h left parenthesis x right parenthesis equals x plus 9, maka komposisi dari g open parentheses x close parentheses dan h open parentheses x close parentheses yaitu

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h close parentheses open parentheses x close parentheses end cell equals cell g open parentheses h open parentheses x close parentheses close parentheses end cell row blank equals cell g open parentheses x plus 9 close parentheses end cell row blank equals cell fraction numerator open parentheses x plus 9 close parentheses plus 3 over denominator 2 open parentheses x plus 9 close parentheses end fraction end cell row blank equals cell fraction numerator x plus 12 over denominator 2 x plus 18 end fraction end cell end table 

Sehingga, open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses adalah 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses end cell equals cell f open parentheses open parentheses g ring operator h close parentheses open parentheses x close parentheses close parentheses end cell row blank equals cell f open parentheses fraction numerator x plus 12 over denominator 2 x plus 18 end fraction close parentheses end cell row blank equals cell 4 open parentheses fraction numerator x plus 12 over denominator 2 x plus 18 end fraction close parentheses minus 1 end cell row blank equals cell fraction numerator 2 x plus 24 over denominator x plus 9 end fraction minus 1 end cell row blank equals cell fraction numerator 2 x plus 24 over denominator x plus 9 end fraction minus fraction numerator x plus 9 over denominator x plus 9 end fraction end cell row blank equals cell fraction numerator x plus 15 over denominator x plus 9 end fraction end cell end table 

Jadi, open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses equals fraction numerator x plus 15 over denominator x plus 9 end fraction

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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