Question

Find the inverse of the function.
ƒ(x) = 4x², x ≤0
whats the inverse?

Answer 1

To find the inverse of a function, you need to switch the roles of the x and y variables. So the inverse of ƒ(x) = 4x² for x ≤ 0 is written as ƒ^(-1)(y) = ?.

To find the inverse function, we can solve for x in terms of y:

4x² = y

x² = y/4

x = √(y/4)

So the inverse of ƒ(x) = 4x² for x ≤ 0 is ƒ^(-1)(y) = √(y/4). Note that this inverse function is only defined for y ≤ 0, since the original function is only defined for x ≤ 0.