Question

For the function f(x) = 2 (x − 1), find ƒ−¹(x).

Answer 1

To find ƒ⁻¹(x), we need to solve for x in terms of ƒ⁻¹(x).

So, we start with the equation:

x = 2 (ƒ⁻¹(x) - 1)

We isolate ƒ⁻¹(x) by dividing both sides by 2 and adding 1 to both sides:

ƒ⁻¹(x) = (x/2) + 1

Therefore, the inverse of the given function f(x) is:

ƒ⁻¹(x) = (x/2) + 1