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

Find [itex]f^{-1}(x)[/itex] if [itex]f(x)=x^{2}-8x+8[/itex] and [itex]x\leq4[/itex]

3. The attempt at a solution

I set [itex]y=x^{2}-8x+8[/itex], and then switch y and x to get [itex]x=y^{2}-8y+8[/itex].

I then try solving for y, but I end up with y's on both sides of the equation:

[itex]x=y^{2}-8y+8[/itex]

[itex]x-8=y^{2}-8y[/itex]

[itex]x-8=y(y-8)[/itex]

[itex]\frac{x-8}{y-8}=y[/itex]

[itex]???[/itex]

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# Find the inverse of f if f(x) = x^2 - 8x + 8 and x is less than or equal to 4

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