Pertanyaan

Jika g ( x ) = 2 x − 1 dan ( f ∘ g ) ( x ) = 2 x + 3 maka

Jika $g (x) = 2 x - 1$ dan $(f \circ g) (x) = 2 x + 3$ maka

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

nilai

Pembahasan

Pertama kita menetukan fungsi : Misalkan: maka, Kemudian kita menentukan Maka, Jadi, nilai

Pertama kita menetukan fungsi :

Misalkan:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 2 x minus 1 end cell row cell 2 x end cell equals cell y minus 1 end cell row x equals cell fraction numerator y minus 1 over denominator 2 end fraction end cell end table end style$

maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f size 14px left parenthesis size 14px 2 size 14px x size 14px minus size 14px 1 size 14px right parenthesis end cell size 14px equals cell size 14px 2 size 14px x size 14px plus size 14px 3 size 14px space end cell row cell size 14px f begin mathsize 14px style left parenthesis y right parenthesis end style end cell size 14px equals cell size 14px 2 begin mathsize 14px style left parenthesis fraction numerator y minus 1 over denominator 2 end fraction right parenthesis end style begin mathsize 14px style plus end style begin mathsize 14px style 3 end style end cell row blank blank cell size 14px f begin mathsize 14px style left parenthesis y right parenthesis end style begin mathsize 14px style equals y minus 1 end style begin mathsize 14px style plus end style begin mathsize 14px style 3 end style end cell row cell size 14px f begin mathsize 14px style left parenthesis y right parenthesis end style end cell size 14px equals cell size 14px y size 14px plus size 14px 2 end cell row blank blank cell size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style begin mathsize 14px style equals end style begin mathsize 14px style x end style begin mathsize 14px style plus end style begin mathsize 14px style 2 end style end cell end table$

Kemudian kita menentukan

Maka,

Jadi, nilai