Tolong bantu jawab ya

Tolong bantu jawab ya

$f(x)=x^2$

$g(x)=frac{8}{x+2}$

$(g~o~f)(x)=frac{8}{x^2+2}$

$to y=frac{8}{x^2+2}$

$y.left(x^2+2right)=8$

$yx^2+2y=8$

$yx^2=8-2y$

$x^2=frac{8-2y}{y}$

$x=sqrt{frac{8-2y}{y}}$

$huge{(g~o~f)^{-1}(x)=sqrt{frac{8-2x}{x}}}$

Maka :

$(g~o~f)^{-1}(1)=sqrt{frac{8-2.(1)}{1}}=sqrt{frac{6}{1}}$

$red{huge{(g~o~f)^{-1}(1)=sqrt{6}}}$

Oke semoga paham ya, kalo ragu boleh komen aja. Semangat belajar mtknya!

Gambar Jawaban