Diketahui f(x) = x^2 + 2x -5 , g(x) = x-1 dan (fog) ^-1 (x) = 3 . nilai yg memnuhi adalah ….

By Admin ReiPosted on December 4, 2022

Diketahui f(x) = x^2 + 2x -5 , g(x) = x-1 dan (fog) ^-1 (x) = 3 . nilai yg memnuhi adalah ….

Jawaban Terkonfirmasi

$displaystyle (fcirc g)(x)=f(g(x))\(fcirc g)(x)=(x-1)^2+2(x-1)-5\(fcirc g)(x)=x^2-2x+1+2x-2-5\(fcirc g)(x)=x^2+1-7\(fcirc g)(x)=x^2-6\\(fcirc g)(x)=y\x^2-6=y\x^2=y+6\x=sqrt{y+6}\(fcirc g)^{-1}(x)=sqrt{x+6}\\(fcirc g)^{-1}(x)=3\sqrt{x+6}=3\x+6=9\x=3\\boxed{boxed{HP={3}}}$