Pertanyaan

Jika diketahui f ( g ( x )) = 3 x − 1 11 x + 2 d an f ( x ) = 2 x + 3 maka g ( x ) =....

Jika diketahui $f (g (x)) = \frac{11 x + 2}{3 x - 1} d an f (x) = 2 x + 3 maka g (x)$ =....

$fraction numerator 2 x plus 5 over denominator 3 x minus 1 end fraction$
$fraction numerator 2 x minus 5 over denominator 3 x minus 1 end fraction$
$fraction numerator 2 x plus 5 over denominator 6 x plus 5 end fraction$
$fraction numerator 2 x plus 5 over denominator 6 x minus 2 end fraction$
$fraction numerator 2 x minus 5 over denominator 6 x plus 2 end fraction$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Penyelesaian:

$f left parenthesis g left parenthesis x right parenthesis right parenthesis equals fraction numerator 11 x plus 2 over denominator 3 x minus 1 end fraction comma space f left parenthesis x right parenthesis equals 2 x plus 32 2 left parenthesis g left parenthesis x right parenthesis right parenthesis plus 3 equals fraction numerator 11 x plus 2 over denominator 3 x minus 1 end fraction 2 left parenthesis g left parenthesis x right parenthesis right parenthesis equals fraction numerator 11 x plus 2 over denominator 3 x minus 1 end fraction minus 3 2 left parenthesis g left parenthesis x right parenthesis right parenthesis equals fraction numerator 11 x plus 2 minus 9 x plus 3 over denominator 3 x minus 1 end fraction 2 left parenthesis g left parenthesis x right parenthesis right parenthesis equals fraction numerator 2 x plus 5 over denominator 3 x minus 1 end fraction g left parenthesis x right parenthesis equals fraction numerator 2 x plus 5 over denominator 3 x minus 1 end fraction.1 half equals fraction numerator 2 x plus 5 over denominator 6 x minus 2 end fraction$