Question

Find the function.... problem attached

Answer 1

Write
\[
y=\frac{3}{x-6}+1
\]
and solve for x in terms of y

Answer 2

Then exchange x and y

Answer 3

Multiplying the two sides by x-6, you get
\[
x y-6 y=x+3-6\\
xy -x=6y-3\\
x(y-1)= 6 y-3\\
x=\frac{6y-3}{y-1}
\]

Answer 4

Are you with me?