?Splitting up curves The equation \(y^{4}=4 x^{2}\) is associated with four one-to-one

Chapter 6, Problem 32

(choose chapter or problem)

Splitting up curves The equation \(y^{4}=4 x^{2}\) is associated with four one-to-one functions \(f_1(x),\ f_2(x),\ f_3(x),\) and \(f_4(x)\) (see figure).

a. Find a formula for each function and the domain of each function.

b. Find the inverse of each function and write it as \(y=f^{-1}(x)\)

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