Pertanyaan

Diketahui f ( x ) = 2 x − 1 3 x dan g ( x ) = 3 x + 1 2 x . ( f ∘ g ) ( x ) = ....

Diketahui $f (x) = \frac{3 x}{2 x - 1}$ dan $g (x) = \frac{2 x}{3 x + 1}$ . $(f \circ g) (x) = ....$

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui dan . jadi, jawabannya

Diketahui dan .

$begin mathsize 14px style equals f open parentheses fraction numerator 2 x over denominator 3 x plus 1 end fraction close parentheses equals fraction numerator 3 open parentheses begin display style fraction numerator 2 x over denominator 3 x plus 1 end fraction end style close parentheses over denominator 2 open parentheses begin display style fraction numerator 2 x over denominator 3 x plus 1 end fraction end style close parentheses minus 1 end fraction cross times fraction numerator 3 x plus 1 over denominator 3 x plus 1 end fraction equals fraction numerator 3 left parenthesis 2 x right parenthesis over denominator 2 left parenthesis 2 x right parenthesis minus left parenthesis 3 x plus 1 right parenthesis end fraction equals fraction numerator 6 x over denominator 4 x minus 3 x minus 1 end fraction equals fraction numerator 6 x over denominator x minus 1 end fraction end style$

jadi, jawabannya