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How do I find the inverse of this function? a. y=2(x-1)^3

User Xiaozou
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1 Answer

21 votes
21 votes

The inverse of the function is;


\frac{\sqrt[3]{x\text{ }}\text{ +2}}{2}

Here, we want to find the inverse of the given function

We start by making x the subject of the formula

We have this as follows;


\begin{gathered} y=2(x-1)^3 \\ \sqrt[3]{y\text{ }}\text{ = 2(x-1)} \\ \sqrt[3]{y}\text{ = 2x - 2} \\ \sqrt[3]{y}\text{ + 2 = 2x} \\ \\ x\text{ = }\frac{\sqrt[3]{y}\text{ + 2}}{2} \end{gathered}

Now, we replace the y in the inverse equation with x

Thus, we have the inverse as;


\frac{\sqrt[3]{x\text{ }}\text{ +2}}{2}

User Felix Aballi
by
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