Answer:
Given in the question an expression,
y = 3x/(8+x)
Step1
interchange the variables
x = 3y/(8+y)
Step 2
x(8+y) = 3y
Step 3
8x + xy = 3y
Step 4
8x = 3y - xy
Step 5
8x = y(3 - x)
Step 6
8x = y(3 - x)
Step 7
y = 8x/(3-x)
Step 8
y = f(x^-1) = 8x/(3-x)
So the inverse of f(x)= 3x/(8+x) is f(x^-1) = 8x/(3-x)
