?Inverses of a quartic Consider the quartic polynomial \(y=f(x)=x^{4}-x^{2}\)?a. Graph f
Chapter 6, Problem 34(choose chapter or problem)
Inverses of a quartic Consider the quartic polynomial \(y=f(x)=x^{4}-x^{2}\)?
a. Graph f and find the intervals on which it is one-to-one. The goal is to find the inverse function on each of these intervals.
b. Make the substitution \(u=x^{2}\) to solve the equation y = f(x) for x in terms of y. Be sure you have included all possible solutions.
c. Write the inverse function in the form \(y=f^{-1}(x)\) for each of the intervals found in part (a).
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