SOLUTION: Suppose f is a function with range (-∞,∞) and g is a function with domain (0, ∞). Is it possible that g and f are inverse functions? Explain.

Algebra ->  Triangles -> SOLUTION: Suppose f is a function with range (-∞,∞) and g is a function with domain (0, ∞). Is it possible that g and f are inverse functions? Explain.      Log On


   



Question 702823: Suppose f is a function with range (-∞,∞) and g is a function with domain (0, ∞). Is it possible that g and f are inverse functions? Explain.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
No, because the domain of a one-to-one function must be the
range of its inverse, and vice-versa, that is, the range of a
one-to-one function must be the domain of its inverse.