Fungsi invers f(x)=x2-6x-2

→ Materi : Fungsi ←
≡ Diketahui:
[tex]\Leftrightarrow f(x)=x^{2}-6x-2[/tex]

≡ Ditanya: Fungsi invers?

≡ Penyelesaian:
[tex]\Rightarrow f(x)=x^{2}-6x-2 \\ \Rightarrow y=x^{2}-6x-2 \\ \Rightarrow y+2=x^{2}-6x \\ \Rightarrow y+2+9=x^{2}-6x+9 \\ \Rightarrow y+11=(x-3)^{2} \\ \Rightarrow x-3= \pm \sqrt{(y+11)} \\ \Rightarrow x=\pm \sqrt{(y+11)}+3 \\ \leadsto \boxed{f^{-1}(x)=\pm \sqrt{(x+11)}+3}[/tex]