Graph y = -­4x2 ­- 2 and its inverse.

Be careful with finding its inverse! An inverse only exists for one-to-one functions so we need to restrict the domain such that the quadratic is one-to-one. For brevity, we'll take the domain: but you could just as easily take .

Being that the quadratic is now one-to-one, we'll try to find its inverse.

By definition, an inverse function is the function flipped across the line y = x. So being that, we need to interchange the x and y coordinates around and then solve for y.

This gives us:

Now, this function is defined for when and .

So I'll end with this, what is the relationship between the domain/range of the original function and the domain/range of the inverse?

what are the options? ?

step-by-step explanation:

because that’s us why