book Maths Puzzle Numerical Ability

Find the maximum value of y=-x^2+6x.

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book Other Question

Given f(x) = 3x^3 - 1 , find f^-1(x). Then show that (f o f^-1)(x) =x.

^I hope that this makes more sense to you than it does to me. Could you please explain to me how to do a Facor: x^4-13x^2+36=0