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F(x) = 3x - 1 find an inverse

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Given:

F(x) = 3x - 1

To find the inverse of the function:

Let us take the function be,

y = 3x - 1

Now, swap the variables,

x = 3y - 1

Then, solve for y

We get,


\begin{gathered} x+1=3y \\ (x+1)/(3)=y \\ y=(x+1)/(3) \end{gathered}

Hence, the inverse of the function is


(x+1)/(3)

User MrEvers
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