Answer:
I believe the answer would be f^-1(x)=-6/2-x
Explanation:
f(x)=6/x+2 (use substitution)
y=6/x+2 (interchange the variables)
x=6/y+2 (swap the sides)
6/y+2=x (multiply both sides)
6+2y=xy (move the terms)
2y-xy=-6 (factor the expression)
(2-x)y=-6 (divide both sides)
y=-6/2-x (use substitution)
solution: f^-1(x)=-6/2-x
I hope this is correct and it helps! :)