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Let f: Nvec be a function defined as f(x...

Let `f: Nvec` be a function defined as `f(x)=9x^2+6x-5.` Show that `f: NvecS ,` where `S` is the range of `f,` is invertible. Find the inverse of `f` and hence `f^(-1)(43)` and `f^(-1)(163)dot`

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The correct Answer is:
`f^(-1)(y)=(sqrt(y+6)-1)/(3);f^(-1)(43)=2;f^(-1)(163)=4`
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