Pertanyaan

Diketahui ( f ∘ g ) ( x ) = − 15 x + 5 , f ( x ) = 3 x + 2 . Tentukan rumus dari g ( x ) .

Diketahui $(f \circ g) (x) = - 15 x + 5, f (x) = 3 x + 2$ . Tentukan rumus dari $g (x)$ .

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight g left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 15 straight x plus 2 over denominator 3 end fraction end cell end table end style$ .

Pembahasan

fungsi ditentukan sebagai berikut Jadi diperoleh .

fungsi begin mathsize 14px style straight g open parentheses straight x close parentheses end style ditentukan sebagai berikut

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight f ring operator straight g right parenthesis left parenthesis straight x right parenthesis end cell equals cell negative 15 straight x plus 5 end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell negative 15 straight x plus 4 end cell row cell 3 straight g open parentheses straight x close parentheses plus 2 end cell equals cell negative 15 straight x plus 4 end cell row cell straight g left parenthesis straight x right parenthesis end cell equals cell fraction numerator negative 15 straight x plus 2 over denominator 3 end fraction end cell end table end style$

Jadi diperoleh $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight g left parenthesis straight x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 15 straight x plus 2 over denominator 3 end fraction end cell end table end style$ .