A function f A B is called constant if there is b0 B such t

A function f : A B is called constant if there is b₀ B such that f(a) = b₀ for all a A. This function is invertible under certain circumstances. What circumstances is it invertible? Justify your answer.

Solution

Generally,The inverse of any constant function will always be a vertical line which is not a function. Therefore, every constant function has no inverse function.

If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Therefore given constant function is invertible only if the vertical line intersects the graph in all places at exactly one point.