Pertanyaan

Jika diketahui fungsi g ( x ) = 5 x − 4 d an ( f ∘ g ) ( x ) = 5 x − 1 10 x − 9 , maka f ( x ) = ...

Jika diketahui fungsi $g (x) = 5 x - 4 d an (f \circ g) (x) = \frac{10 x - 9}{5 x - 1}, maka f (x) = ...$

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

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Penyelesaian:

$g left parenthesis x right parenthesis equals 5 x minus 4 y equals 5 x minus 4 y plus 4 equals 5 x x equals fraction numerator y plus 4 over denominator 5 end fraction g to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x plus 4 over denominator 5 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 10 x minus 9 over denominator 5 x minus 1 end fraction f left parenthesis 5 x minus 4 right parenthesis equals fraction numerator 10 x minus 9 over denominator 5 x minus 1 end fraction f left parenthesis x right parenthesis equals fraction numerator 10 open parentheses begin display style fraction numerator x plus 4 over denominator 4 end fraction end style close parentheses minus 9 over denominator 5 open parentheses begin display style fraction numerator x plus 4 over denominator 5 end fraction end style close parentheses minus 1 end fraction equals fraction numerator 2 left parenthesis x plus 4 right parenthesis minus 9 over denominator x plus 4 minus 1 end fraction equals fraction numerator 2 x plus 8 minus 9 over denominator x plus 3 end fraction equals fraction numerator 2 x minus 1 over denominator x plus 3 end fraction$