Pertanyaan

21. Fungsi ( f ∘ g ) ( x ) = 5 x . Jika g ( x ) = 5 x − 1 1 maka f ( x ) = ...

21. Fungsi $(f \circ g) (x) = 5 x . Jika g (x) = \frac{1}{5 x - 1} maka f (x) = ...$

$begin mathsize 14px style fraction numerator x over denominator x minus 1 end fraction end style$
$begin mathsize 14px style fraction numerator x plus 1 over denominator x end fraction end style$
$begin mathsize 14px style fraction numerator 2 x over denominator x plus 1 end fraction end style$
$begin mathsize 14px style fraction numerator x minus 1 over denominator x end fraction end style$
$begin mathsize 14px style fraction numerator x over denominator 2 x minus 1 end fraction end style$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepatadalah B.

jawaban yang tepat adalah B.

Pembahasan

Oleh karena itu, jawaban yang tepatadalah B.

$begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses fraction numerator 1 over denominator 5 x minus 1 end fraction close parentheses 5 x equals fraction numerator open parentheses fraction numerator 1 over denominator 5 x minus 1 end fraction close parentheses plus 1 over denominator open parentheses begin display style fraction numerator 1 over denominator 5 x minus 1 end fraction end style close parentheses end fraction 5 x equals fraction numerator begin display style fraction numerator 1 over denominator 5 x minus 1 end fraction end style plus begin display style fraction numerator 5 x minus 1 over denominator 5 x minus 1 end fraction end style over denominator open parentheses begin display style fraction numerator 1 over denominator 5 x minus 1 end fraction end style close parentheses end fraction 5 x equals fraction numerator begin display style fraction numerator 5 x over denominator 5 x minus 1 end fraction end style over denominator open parentheses begin display style fraction numerator 1 over denominator 5 x minus 1 end fraction end style close parentheses end fraction 5 x equals fraction numerator 5 x over denominator 5 x minus 1 end fraction cross times fraction numerator 5 x minus 1 over denominator 1 end fraction 5 x equals 5 x Jadi comma space f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator x end fraction end style$

Oleh karena itu, jawaban yang tepat adalah B.