SOLUTION: Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1). What is the range of φ^−1(x)?

Algebra ->  Functions -> SOLUTION: Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1). What is the range of φ^−1(x)?      Log On


   



Question 1136169: Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
What is the range of φ^−1(x)?

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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Then the range of the function φ^−1(x) is (-5,11),  same as the domain of the function φ(x).



It is so, because you can return to any point of the domain with the function   φ^−1(x),  first making trip  x ----> φ(x).