Answer:
f^-1(x)=3/(x-1)
Step-by-step explanation:
For us to find the inverse, we firstly do f(x)=y
so,
y=(x+3)/x
Then, we switch y for x and x for y, so we get
x=(y+3)/y
Now we rearrange for y.
x=(y+3)/y
yx=(y+3)
yx-y=3
y(x-1)=3
y=3/(x-1)
therefore, f^-1(x)=3/(x-1)
