1. \(f(g(x)) = 2x^2-4x+1\) ; therefore \(f\) and \(g\) are not inverses.

2. \(f(g(x)) = g(f(x)) =x\) ; therefore \(f\) and \(g\) are inverses.

3. The function has an inverse. \(f^{-1}(x)=\dfrac{x+1}{3}\)

4. The function has an inverse. \(f^{-1}(x) = \dfrac 4x \)

5. The function does not have an inverse, it is not 1-1.

6. The function has an inverse. \(f^{-1}(x) = \sqrt[3]{x-1}\)

Return to Try This! (Writing Inverse Equations)

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