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Diketahui  dan . Tentukan: d.

Pertanyaan

Diketahui undefined dan undefined. Tentukan:

d. begin mathsize 14px style open parentheses fraction numerator 3 g over denominator f end fraction close parentheses open parentheses x close parentheses end style 

  1. ...space 

  2. ...undefined 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x plus 5 right parenthesis end cell equals cell 3 x squared plus 10 x – 3 end cell row cell misal space y end cell equals cell x plus 5 space rightwards double arrow space x equals y minus 5 end cell row cell f left parenthesis y minus 5 plus 5 right parenthesis end cell equals cell 3 left parenthesis y minus 5 right parenthesis squared plus 10 left parenthesis y minus 5 right parenthesis minus 3 end cell row cell f left parenthesis y right parenthesis end cell equals cell 3 left parenthesis y squared minus 10 y plus 25 right parenthesis plus 10 y minus 50 minus 3 end cell row cell f left parenthesis y right parenthesis end cell equals cell 3 y squared minus 30 y plus 75 plus 10 y minus 50 minus 3 end cell row cell f left parenthesis y right parenthesis end cell equals cell 3 y squared minus 20 y plus 22 end cell row cell f left parenthesis x right parenthesis end cell equals cell 3 x squared minus 20 x plus 22 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis 4 x minus 1 right parenthesis end cell equals cell fraction numerator 1 minus 8 x over denominator 2 x plus 2 end fraction end cell row cell misal space 4 x minus 1 end cell equals cell y space rightwards double arrow space x equals fraction numerator y plus 1 over denominator 4 end fraction end cell row cell g left parenthesis 4 cross times fraction numerator y plus 1 over denominator 4 end fraction minus 1 right parenthesis end cell equals cell fraction numerator 1 minus 8 left parenthesis fraction numerator y plus 1 over denominator 4 end fraction right parenthesis over denominator 2 left parenthesis fraction numerator y plus 1 over denominator 4 end fraction right parenthesis plus 2 end fraction end cell row cell g left parenthesis y right parenthesis end cell equals cell fraction numerator 1 minus 2 y minus 2 over denominator begin display style left parenthesis fraction numerator y plus 1 plus 4 over denominator 2 end fraction right parenthesis end style end fraction end cell row cell g left parenthesis y right parenthesis end cell equals cell fraction numerator negative 4 y minus 2 over denominator y plus 5 end fraction end cell row cell g left parenthesis x right parenthesis end cell equals cell fraction numerator negative 4 x minus 2 over denominator x plus 5 end fraction end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 3 g over denominator f end fraction close parentheses left parenthesis x right parenthesis end cell equals cell fraction numerator 3 cross times g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis end fraction end cell row blank equals cell fraction numerator 3 open parentheses begin display style fraction numerator negative 4 x minus 2 over denominator x plus 5 end fraction end style close parentheses over denominator 3 x squared minus 20 x plus 22 end fraction end cell row blank equals cell fraction numerator 3 left parenthesis negative 4 x minus 2 right parenthesis over denominator open parentheses x plus 5 close parentheses left parenthesis 3 x squared minus 20 x plus 22 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 12 x minus 6 over denominator left parenthesis x plus 5 right parenthesis left parenthesis 3 x squared minus 20 x plus 22 right parenthesis end fraction end cell end table end style  

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Februari 2021

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