Suppose f and g are different functions of three variables.Is it possible for the level surface f = 1 and the level surface g = 1 to be the same surface?

Question

Quizplus · Accepted Answer

Level surfaces are defined by the set of points at which a function takes on a constant value. Even if f and g are different functions, they can have a set of points in space where they both equal 1, thus sharing the same level surface for that value.

Suppose F and G Are Different Functions of Three Variables