Answer: [tex]\frac{x+5+\sqrt{x^2+10x+1}}{2},\:\frac{x+5-\sqrt{x^2+10x+1}}{2}[/tex]
Steps:
[tex]1.{A\:function\:g\:is\:the\:inverse\:of\:function\:f\:if\:for}\:y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]
2. Replace x with y: [tex]x=y+\frac{6}{y}-5[/tex]
3. Solve for y, x = y + [tex]\frac{6}{5}[/tex] - 5. This will get you the correct answer.
