Answer:
f⁻¹(x) = (x+1)/2
Step-by-step explanation:
Given the function f(x) = 2x - 1, we are to find its inverse;
Let y = f(x)
y = 2x - 1
Replace y with x
x = 2y - 1
Make y the subject of the formula
2y = x + 1
Divide both sides by 2
2y/2 = (x+1)/2
y = (x+1)/2
Replace y with f⁻¹(x)
f⁻¹(x) = (x+1)/2
Hence the required inverse is (x+1)/2