Okay Alan can you please spot the fault in my logic?
$$\\y=-x^3+2x^2+3x \qquad for \;\;x>3\\\\
$Inverse function$\\
x=-y^3+2y^2+3y \qquad for \;\;y>3\\\\
When\;\;x=6$$
I was going to keep going but I have already done it in my first post
http://web2.0calc.com/questions/please-help_65#r1
When x=6 there are 3 solutions for y but for each y is less than 3 so there are no solutions.
NOW
To confirm this I did a graph. The blue graph on the top is the inverse graph.
It confirms that there is no f-1(6)
Which bit of my logic seems wrong to you?
OR is it just that the result disagrees with your logic and you haven't worked out why yet?
I am not trying to put you on the spot but usually you can show me what I have done wrong.
@@ End of Day Wrap Sun 10 /1/15 Sydney, Australia Time 9:05pm ♪ ♫
Hi all,
Today our intrepid answerers were CPhill, Tetration, Kingpifireplasma, Rosala, Alan, Heureka and SevenUP.
A big thank you to each of you :)
Inerest Posts:
1) Prove $${\sqrt{{\mathtt{10}}}}$$ is irrational. Melody
http://web2.0calc.com/questions/is-the-square-root-of-ten-rational-or-irrational
2) There is more than 1 way to solve an equation. Thanks Melody and Tetration
http://web2.0calc.com/questions/x-2-x-4-5-6-0
3) Again 2 ways to solve one equation. Thanks Chris and Alan.
http://web2.0calc.com/questions/if-x-0-what-is-the-solution-to-the-following-equation-1-x-x-2-7-x
4) Double factorial - a new one for me. Thanks Tetration.
http://web2.0calc.com/questions/using-only-for-4s-and-any-symbol-how-can-you-make-10#r6
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫
Mon 12/1/15
1) Factorising a quadratic using grouping method Melody.
http://web2.0calc.com/questions/factorising
2) Suplementary and complementary and vertically opp angles. Good for you young ones
http://web2.0calc.com/questions/vertical-angles
3) Modulo Arithmetic. The link CPhill has provided looks like a nice introdution if anyone want to take a look.
It is suitable for younger ones as well as seniors.
http://web2.0calc.com/questions/modulo-operation
4) What is a grad ? Thanks Alan
http://web2.0calc.com/questions/tan-1-1-547633313
5) These always make you think. Thanks Geno and CPhill
6) Why is arccos(2.3) invalid Thanks Melody and Geno
http://web2.0calc.com/questions/why-is-arccos-2-3-an-invalid-argument
7) Complementary Trig ratios For everyone that has done any trig. Melody
http://web2.0calc.com/questions/sin-25-deg-cos-65-deg#rr2
8) I always like these indices questions
http://web2.0calc.com/questions/36-5-2-36-1-2------36-1-7-2
9) Using summation notation Thanks Melody and Heureka
http://web2.0calc.com/questions/write-the-following-in-summation-notation
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫