Asap. find the inverse of g(x)=1/3x-7 and find its domain and range

Find the inverse function of f. 
f(x)=(1+3x)/(5-2x) 
Interchange x and y to get: 
x=(1+3y)/(5-2y)
Solve for y as follows: 
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function

I'm pretty sure it's b). i try drawing the functions out and b is the one that stands out or isnt a "line"