To find the inverse of f, we need to solve for x in terms of f(x).
Starting with f(x) = 2x - 3:
f(x) = y = 2x - 3
Add 3 to both sides:
y + 3 = 2x
Divide by 2:
x = (y + 3)/2
So the inverse function is:
f^-1(x) = (x + 3)/2
Substituting y back in for x:
f^-1(y) = (y + 3)/2
Therefore, the answer is A) 3/(x-2).