What is the inverse function of $f(x) = x^5 + 2x^3 + x - 1?$ I have no idea how to find the inverse of a polynomial, so I would greatly appreciate it if someone could show me the steps to solving this problem. Thank you in advance!
Inverse function of a polynomial
14
$\begingroup$
polynomials
inverse
-
0please enclose your math in \$ \$ to have it typeset nicely – 2012-10-10
-
1Even Mathematica can't find inverse function, but you can be confident - inverse function does exist – 2012-10-10
-
8Your polynomial is increasing, and its range is all reals, so there **is** an inverse. Finding a pleasant expression for the inverse is another matter. But one can find information about the derivative of the inverse without knowing a formula. – 2012-10-10
-
0I think, it's very hard. Is it homework? Or where is this problem from? – 2012-10-10
-
0This question has been asked before, albeit in greater detail. Most likely we're having trouble answering it because we're missing this information: http://math.stackexchange.com/questions/85226/homework-help-ap-calculus-inverse-of-polynomial?rq=1 – 2012-12-15