Roboguru

Diketahui  dan ,. Rumus fungsi  adalah

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x minus 5 end style dan begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator negative 2 x plus 5 over denominator x minus 1 end fraction end style,begin mathsize 14px style x not equal to 1 end style. Rumus fungsi begin mathsize 14px style g left parenthesis x right parenthesis end style adalahbegin mathsize 14px style... end style 

  1. begin mathsize 14px style... end style 

  2. begin mathsize 14px style... end style 

Jawaban:

Diketahui :

begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x minus 5 end style  
begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator negative 2 x plus 5 over denominator x minus 1 end fraction end style,begin mathsize 14px style x not equal to 1 end style.
Ditanya :

Rumus fungsi begin mathsize 14px style g left parenthesis x right parenthesis end style 

Jawab :begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals open parentheses f open parentheses g x close parentheses close parentheses fraction numerator negative 2 x plus 5 over denominator x minus 1 end fraction equals 3 open parentheses g left parenthesis x right parenthesis close parentheses minus 5 minus 2 x plus 5 equals open parentheses 3 open parentheses g open parentheses x close parentheses close parentheses minus 5 close parentheses cross times open parentheses x minus 1 close parentheses minus 2 x plus 5 equals 3 open parentheses g left parenthesis x right parenthesis close parentheses x minus 3 left parenthesis g left parenthesis x right parenthesis right parenthesis minus 5 x plus 5 space space 3 left parenthesis g left parenthesis x right parenthesis right parenthesis equals 2 x minus 5 minus 5 x plus 5 plus 3 left parenthesis g left parenthesis x right parenthesis right parenthesis x space space 3 left parenthesis g left parenthesis x right parenthesis right parenthesis equals negative 3 x plus 3 left parenthesis g left parenthesis x right parenthesis right parenthesis x space space 3 left parenthesis g x right parenthesis right parenthesis minus 3 left parenthesis g left parenthesis x right parenthesis right parenthesis x equals negative 3 x space space space space space space space space space up diagonal strike 3 space end strike g left parenthesis x right parenthesis left parenthesis 1 minus x right parenthesis equals negative up diagonal strike 3 x space space space space space space space space space space space space space space space space space space space space g left parenthesis x right parenthesis space space equals negative fraction numerator x over denominator left parenthesis 1 minus x right parenthesis end fraction end style 

 

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