Mathematics, 07.10.2019 03:00 rebecabosca
Find the inverse of the function. f(x) = the cube root of quantity x divided by eight. - 4
Answers: 1
![\bf f(x)=y=\sqrt[3]{\cfrac{x}{8}}-4\impliedby \textit{first, let's switch the variables about} \\\\\\ \underline{x}=\sqrt[3]{\cfrac{\underline{y}}{8}}-4\implies x+4=\sqrt[3]{\cfrac{\underline{y}}{8}}\implies (x+4)^3=\cfrac{y}{8} \\\\\\ \boxed{8(x+4)^3=y}\impliedby f^{-1}(x)](/tpl/images/0295/8358/14a5a.png)
![f(x)=\sqrt[3]{\frac{x}{8}}-4](/tpl/images/0295/8358/64f72.png)
![y=\sqrt[3]{\frac{x}{8}}-4](/tpl/images/0295/8358/eb8b8.png)
![x=\sqrt[3]{\frac{y}{8}}-4](/tpl/images/0295/8358/4fa06.png)
![x+4=\sqrt[3]{\frac{y}{8}}](/tpl/images/0295/8358/10c54.png)
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Find the inverse of the function. f(x) = the cube root of quantity x divided by eight. - 4...
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