Pertanyaan

Diketahui g ( x ) = 4 x − 3 dan ( f ∘ g ) ( x ) = 12 x − 8 , maka tentukan f ( x ) = ...

Diketahui $g (x) = 4 x - 3$ dan $(f \circ g) (x) = 12 x - 8$ , maka tentukan $f (x) = ...$

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

Kita misalkan Jadi,

Kita misalkan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 4 x minus 3 end cell row cell 4 x end cell equals cell negative y minus 3 end cell row x equals cell fraction numerator negative y minus 3 over denominator 4 end fraction end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 4 x minus 3 right parenthesis end cell equals cell 12 x minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell 12 left parenthesis fraction numerator negative y minus 3 over denominator 4 end fraction right parenthesis minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell negative 3 y minus 9 minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell negative 3 y minus 17 end cell row cell f left parenthesis x right parenthesis end cell equals cell negative 3 x minus 17 end cell row blank blank blank end table end style$

Jadi,