Roboguru

Diketahui . Tentukan: c. ,

Diketahui begin mathsize 14px style p open parentheses fraction numerator x plus 1 over denominator 2 x minus 1 end fraction close parentheses equals x plus 3 space dan space q open parentheses fraction numerator 2 over denominator x minus 1 end fraction close parentheses equals 2 x minus 5 end style. Tentukan:

c. begin mathsize 14px style open parentheses p over q close parentheses open parentheses 1 close parentheses end style

Jawaban:

Kita akan mencari nilai begin mathsize 14px style p open parentheses x close parentheses equals 1 end style, maka kita misalkan begin mathsize 14px style fraction numerator x plus 1 over denominator 2 x minus 1 end fraction equals 1 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x plus 1 over denominator 2 x minus 1 end fraction end cell equals 1 row cell x plus 1 end cell equals cell 2 x minus 1 end cell row cell x minus 2 x end cell equals cell negative 1 minus 1 end cell row cell negative x end cell equals cell negative 2 end cell row x equals 2 end table end style 

Dari perhitungan tersebut didapat begin mathsize 14px style x equals 2 end style.

Diketahui bahwa begin mathsize 14px style p open parentheses fraction numerator x plus 1 over denominator 2 x minus 1 end fraction close parentheses equals x plus 3 end style, sehingga begin mathsize 14px style p open parentheses 1 close parentheses equals 2 plus 3 equals 5 end style.

Kita akan mencari nilai begin mathsize 14px style q left parenthesis x right parenthesis equals 1 end style, maka kita misalkan begin mathsize 14px style fraction numerator 2 over denominator x minus 1 end fraction equals 1 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 over denominator x minus 1 end fraction end cell equals 1 row 2 equals cell x minus 1 end cell row cell 2 plus 1 end cell equals x row x equals 3 end table end style  

Dari perhitungan tersebut didapat begin mathsize 14px style x equals 3 end style.

Diketahui bahwa begin mathsize 14px style q open parentheses fraction numerator 2 over denominator x minus 1 end fraction close parentheses equals 2 x minus 5 end style, sehingga

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell q open parentheses 1 close parentheses end cell equals cell 2 open parentheses 3 close parentheses minus 5 end cell row blank equals cell 6 minus 5 end cell row blank equals 1 end table end style .

Jadi, begin mathsize 14px style open parentheses p over q close parentheses left parenthesis 1 right parenthesis equals 5 over 1 equals 5 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