Tolong dikerjain pake caranya ya ka! Aku janji bakal jadiin jawaban tercerdas!

By Admin ReiPosted on October 29, 2022

Jawab asal-asalan/ngga sesuai pertanyaan auto report!

Tolong dikerjain pake caranya ya ka! Aku janji bakal jadiin jawaban tercerdas!

Tolong dikerjain pake caranya ya ka! Aku janji bakal jadiin jawaban tercerdas!

$sf f(x)~=~3x~+~5$

$sf g(x)~=~frac{x~-~2}{2x~+~3},~xne -frac{3}{2}$

$\text{[math]}$

$sf (f~o~g)(x)~=~3.left(frac{x~-~2}{2x~+~3}right)~+~5$

$sf (f~o~g)(x)~=~frac{3x~-~6}{2x~+~3}~+~5$

$sf (f~o~g)(x)~=~frac{3x~-~6~+~5.(2x~+~3)}{2x~+~3}$

$sf (f~o~g)(x)~=~frac{3x~-~6~+~10x~+~15}{2x~+~3}$

$sf (f~o~g)(x)~=~frac{13x~+~9}{2x~+~3}$

$to sf p~=~frac{13x~+~9}{2x~+~3}$

$sf p.(2x~+~3)~=~13x~+~9$

$sf 2xp~+~3p~=~13x~+~9$

$sf 2xp~-~13x~=~-3p~+~9$

$sf x.(2p~-~13)~=~-3p~+~9$

$sf x~=~frac{-3p~+~9}{2p~-~13}$

$to color{darkred}sf (f~o~g)^{-1}(x)~=~frac{-3x~+~9}{2x~-~13}$

Sehingga :

$sf (f~o~g)^{-1}(6)~=~frac{-3.(6)~+~9}{2.(6)~-~13}~=~frac{-18~+~9}{12~-~13}~=~frac{-9}{-1}$

$purple{sf (f~o~g)^{-1}(6)~=~9}$

$\text{[math]}$

$sf (g~o~f)(x)~=~frac{(3x~+~5)~-~2}{2.(3x~+~5)~+~3}$

$sf (g~o~f)(x)~=~frac{3x~+~5~-~2}{6x~+~10~+~3}$

$sf (g~o~f)(x)~=~frac{3x~+~3}{6x~+~13}$

$to sf q~=~frac{3x~+~3}{6x~+~13}$

$sf q.(6x~+~13)~=~3x~+~3$

$sf 6qx~+~13q~=~3x~+~3$

$sf 6qx~-~3x~=~-13q~+~3$

$sf x.(6q~-~3)~=~-13q~+~3$

$sf x~=~frac{-13q~+~3}{6q~-~3}$

$to color{darkred}sf (g~o~f)^{-1}(x)~=~frac{-13x~+~3}{6x~-~3}$

Sehingga :

$sf (g~o~f)^{-1}(-1)=frac{-13.(-1)~+~3}{6.(-1)~-~3}=frac{13~+~3}{-6~-~3}=frac{16}{-9}$

$purple{sf (g~o~f)^{-1}(-1)~=~-frac{16}{9}}$

$\text{[math]}$

Maka :

$sf (f~o~g)(6)~+~(g~o~f)(-1)~=~9~+~left(-frac{16}{9}right)$

$sf pink{(f~o~g)(6)+(g~o~f)(-1)~=huge{frac{65}{9}}}$