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Diketahui fungsi  dan , . Nilai  adalah ...

Pertanyaan

Diketahui fungsi f left parenthesis x right parenthesis equals 3 x plus 2 dan g left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 x minus 1 end fraction, x not equal to 1 half. Nilai left parenthesis g ring operator f right parenthesis left parenthesis negative 1 right parenthesis adalah ...

Pembahasan Soal:

Diketahui fungsi f left parenthesis x right parenthesis equals 3 x plus 2 dan g left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 x minus 1 end fraction, x not equal to 1 half, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row blank equals cell fraction numerator left parenthesis 3 x plus 2 right parenthesis plus 3 over denominator 2 left parenthesis 3 x plus 2 right parenthesis minus 1 end fraction end cell row blank equals cell fraction numerator 3 x plus 2 plus 3 over denominator 6 x plus 4 minus 1 end fraction end cell row blank equals cell fraction numerator 3 x plus 5 over denominator 6 x plus 3 end fraction end cell end table 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis negative 1 right parenthesis end cell equals cell fraction numerator 3 left parenthesis negative 1 right parenthesis plus 5 over denominator 6 left parenthesis negative 1 right parenthesis plus 3 end fraction end cell row blank equals cell fraction numerator negative 3 plus 5 over denominator negative 6 plus 3 end fraction end cell row blank equals cell negative 2 over 3 end cell end table

Jadi, nilai left parenthesis g ring operator f right parenthesis left parenthesis negative 1 right parenthesis adalah negative 2 over 3 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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