Pertanyaan

Diberikan ( f ∘ g ) ( x ) = 4 x + 6 dan f ( x ) = 2 x –4 , maka fungsi g ( x ) ...

Diberikan $(f \circ g) (x) = 4 x + 6$ dan $f (x) = 2 x -4$ , maka fungsi $g (x) ...$

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Jawaban

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g left parenthesis x right parenthesis equals 2 x plus 5

Pembahasan

DIketahui: ; Ditanya: ? Jawab: Jadi, .

DIketahui: left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals 4 x plus 6 ; f left parenthesis x right parenthesis equals 2 x minus 4

Ditanya: g left parenthesis x right parenthesis ?

Jawab:

$table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell 4 x plus 6 end cell row cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 4 x plus 6 end cell row cell 2 left parenthesis g left parenthesis x right parenthesis right parenthesis minus 4 end cell equals cell 4 x plus 6 end cell row cell 2 left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 4 x plus 6 plus 4 end cell row cell 2 left parenthesis g left parenthesis x right parenthesis right parenthesis end cell equals cell 4 x plus 10 end cell row cell g left parenthesis x right parenthesis end cell equals cell fraction numerator 4 x plus 10 over denominator 2 end fraction end cell row cell g left parenthesis x right parenthesis end cell equals cell 2 x plus 5 end cell end table$

Jadi, g left parenthesis x right parenthesis equals 2 x plus 5 .