Roboguru

Diketahui  dan , , tentukan : Nilai

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 5 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator x minus 1 over denominator x plus 4 end fraction end stylebegin mathsize 14px style x not equal to negative 4 end style, tentukan :

Nilai begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses 1 close parentheses end style 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell 2 open parentheses fraction numerator x minus 1 over denominator x plus 4 end fraction close parentheses plus 5 end cell row blank equals cell fraction numerator 2 x minus 2 over denominator x plus 4 end fraction plus fraction numerator 5 open parentheses x plus 4 close parentheses over denominator x plus 4 end fraction end cell row blank equals cell fraction numerator 2 x minus 2 plus 5 x plus 20 over denominator x plus 4 end fraction end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 7 x plus 18 over denominator x plus 4 end fraction end cell end table end style 

Nilai begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses 1 close parentheses end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses 1 close parentheses end cell equals cell fraction numerator 7 open parentheses 1 close parentheses plus 18 over denominator 1 plus 4 end fraction end cell row blank equals cell 25 over 5 end cell row cell open parentheses f ring operator g close parentheses open parentheses 1 close parentheses end cell equals 5 end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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