Answer: 9x - 18
Step-by-step explanation:
Inverse is when you swap the x's and y's and solve for y
[tex]\text{Given: }\quad y=\dfrac{1}{9}x+2\\\\\text{Swapped: }x=\dfrac{1}{9}y+2\\\\.\qquad \quad x-2=\dfrac{1}{9}y\\\\.\qquad 9(x-2)=y\\\\.\quad \large\boxed{9x-18=y}[/tex]