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Find the inverse of f(x)= (5x - 1) / 6

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ANSWER


f^(-1)(x)\text{ = }\frac{6x\text{ + 1}}{5}

Step-by-step explanation

We want to find the inverse:


f(x\text{) = }\frac{5x\text{ - 1}}{6}

First, change f(x) to y:


y\text{ = }\frac{5x\text{ - 1}}{6}

Now, make x the subject of formula:


\begin{gathered} 6y\text{ = 5x - 1} \\ 6y\text{ + 1 = 5x} \\ x\text{ = }\frac{6y\text{ + 1}}{5} \end{gathered}

Now, change x to f-1(x), change y to x:


f^(-1)(x)\text{ = }\frac{6x\text{ + 1}}{5}

That is the inverse.

User Cschneid
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