(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find [itex](f^{-1})'(a)[/itex] of: [itex]f(x)=\sqrt{x^{3}+x^{2}+x+22}[/itex] ; a=5.

2. Relevant equations

[tex](f^{-1})'(a)=\frac{1}{f'((f^{-1})(a))}[/tex]

3. The attempt at a solution

Well, I know to find an inverse: I need to set the equation equal to y, solve for x, then swap x and y. But I don't know how to solve this for x.

I have been searching the internet for a lesson on this type of problem but I am not finding anything.

I can find the derivative, but I don't think that helps me here.

[tex]f'(x)=\frac{1}{2}({x^{3}+x^{2}+x+22})^{-\frac{1}{2}}(3x^{2}+2x+1)[/tex]

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# Find the inverse of the polynomial.

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