Answer: [tex]\bold{y=\dfrac{1}{x}+3}[/tex]
Step-by-step explanation:
Inverse is when you swap the x's and y's and solve for y
[tex]y=\dfrac{1}{x-3}\\\\\\\underline{\text{Swap the x's and y's}}\\x=\dfrac{1}{y-3}\\\\\\\underline{\text{Take the reciprocal of both sides}}\\\dfrac{1}{x}=y-3\\\\\\\underline{\text{Add 3 to both sides}}\\\dfrac{1}{x}+3=y[/tex]
