Finding and checking an inverse

Finding and checking an inverse

TGM Original

Let \(f(x)=\dfrac{3x-2}{5}\). Find \(f^{-1}(x)\) and use it to solve \(f(a)=7\).

Solution:

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Answer:\(f^{-1}(x)=\dfrac{5x+2}{3}\); \(a=\dfrac{37}{3}\).

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