Answer:
Step-by-step explanation:
Given f(x) = (3x-1)/2
To get f^-1(4), we need to get the inverse of the function first.
Let y = (3x-1)/2
Replace y with x
x = (3y-1)/2
Make y the subject of the formula
2x = 3y-1
3y = 2x+1
y = (2x+1)/3
f^-1(x) = (2x+1)/3
Substitute x = 4 into the resulting expression
f^-1(4) = (2(4)+1)/3
f^-1(4) = (8+1)/3
f^-1(4) = 9/3
f^-1(4) = 3
