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seraphim [82]
3 years ago
13

Find the inverse of the function. f(x) = 6x3 - 8

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
\bf f(x)=y=6x^3-8\qquad inverse\implies 
\begin{array}{lll}
x=&6y^3-8\\
&\uparrow\\
&\textit{switched variables} 
\end{array}
\\\\\\
x+8=6y^3\implies \cfrac{x+8}{6}=y^3\impliedby taking\ \sqrt[3]{\qquad }
\\\\\\
\sqrt[3]{\cfrac{x+8}{6}}=\sqrt[3]{y^3}\implies \sqrt[3]{\cfrac{x+8}{6}}=y\impliedby f^{-1}(x)
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