To find the inverse of the function f(x) = 4x, we start by replacing f(x) with y. So, we have:
y = 4x
Next, we need to solve for x in terms of y. We can do this by dividing both sides of the equation by 4:
x = y / 4
Now, to express the inverse function, we switch x and y:
f-1(x) = x / 4
Thus, the inverse function of f(x) = 4x is f-1(x) = x / 4. This means that for any value of x, if you apply the original function and then the inverse function, you will return to the original value.