Roboguru

Tentukan rumus dari , ,  dan  untuk  dan  pada  de...

Tentukan rumus dari begin mathsize 14px style f plus g end style, begin mathsize 14px style f minus g end style, begin mathsize 14px style g minus f end style dan begin mathsize 14px style f cross times g end style untuk begin mathsize 14px style f end style dan begin mathsize 14px style g end style pada begin mathsize 14px style R end style dengan ketentuan sebagai berikut:

c. begin mathsize 14px style f left parenthesis x right parenthesis equals 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 1 over denominator x minus 1 end fraction end style, untuk begin mathsize 14px style x not equal to 1 end style 

Jawaban:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 1 over denominator x minus 1 end fraction end style, untuk begin mathsize 14px style x not equal to 1 end style , maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f plus g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 right parenthesis plus open parentheses fraction numerator 1 over denominator x minus 1 end fraction close parentheses end cell row blank equals cell fraction numerator 2 left parenthesis x minus 1 right parenthesis plus 1 over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator 2 x minus 2 plus 1 over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator 2 x minus 1 over denominator x minus 1 end fraction comma space untuk space x not equal to 1 end cell row blank blank blank row cell left parenthesis f minus g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 right parenthesis minus open parentheses fraction numerator 1 over denominator x minus 1 end fraction close parentheses end cell row blank equals cell fraction numerator 2 left parenthesis x minus 1 right parenthesis minus 1 over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator 2 x minus 2 minus 1 over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator 2 x minus 3 over denominator x minus 1 end fraction comma space untuk space x not equal to 1 end cell row blank blank blank row cell left parenthesis g minus f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis x right parenthesis minus f left parenthesis x right parenthesis end cell row blank equals cell open parentheses fraction numerator 1 over denominator x minus 1 end fraction close parentheses minus left parenthesis 2 right parenthesis end cell row blank equals cell fraction numerator 1 minus 2 left parenthesis x minus 1 right parenthesis over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator 1 minus 2 x plus 2 over denominator x minus 1 end fraction end cell row blank equals cell fraction numerator negative 2 x plus 3 over denominator x minus 1 end fraction comma space untuk space x not equal to 1 end cell row blank blank blank row cell left parenthesis f cross times g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis cross times g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 right parenthesis cross times open parentheses fraction numerator 1 over denominator x minus 1 end fraction close parentheses end cell row blank equals cell fraction numerator 2 over denominator x minus 1 end fraction comma space untuk space x not equal to 1 end cell row blank blank blank end table 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

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved