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Question Number 171009 by Mastermind last updated on 06/Jun/22
Find the inverse, y^(−1)  of the function  y=x^3 +4.    Mastermind
$${Find}\:{the}\:{inverse},\:{y}^{−\mathrm{1}} \:{of}\:{the}\:{function} \\ $$$${y}={x}^{\mathrm{3}} +\mathrm{4}. \\ $$$$ \\ $$$${Mastermind} \\ $$
Answered by a.lgnaoui last updated on 06/Jun/22
x^3 =y−4  x=^3 (√(y−4))   ⇒f^(−1) (x)=^3 (√(x−4))
$${x}^{\mathrm{3}} ={y}−\mathrm{4} \\ $$$${x}=^{\mathrm{3}} \sqrt{{y}−\mathrm{4}}\:\:\:\Rightarrow{f}^{−\mathrm{1}} \left({x}\right)=^{\mathrm{3}} \sqrt{{x}−\mathrm{4}} \\ $$$$ \\ $$

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