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ajdirig
Group Title
Can anyone help find the inverse of the fxn:
y=x^(2)+4x6
 one year ago
 one year ago
ajdirig Group Title
Can anyone help find the inverse of the fxn: y=x^(2)+4x6
 one year ago
 one year ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
it is not a one to one function, so it is unlikely that it has an inverse
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
there are 2 inverses, depending on the chosen domain
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
I have the answer, I just don't understand how to get there
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
ok then we can solve via completing the square \[y+6=x^2+4x\]\[y+6+4=(x+2)^2\] \[y+10=(x+2)^2\] then \[x+2=\pm\sqrt{y+10}\] and so \[x=2\pm\sqrt{y+10}\]
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
where did the +4 come from?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
because \(x^2+4x\neq (x+2)^2\) however \((x+2)^2=x^2+4x+4\) so when we replace \(x^2+4x\) by \((x+2)^2\) we were adding 4 therefore you have to add 4 to the other side as well
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
aka "completing the square"
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
ahh, thank you, I never would have thought to complete the square
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
satellite73 do you know the domains?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
sure it is given by the plus minus part
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
the question is worded strangely, it asks which domains lead to the two inverses
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
vertex of the parabola \(y=x^2+4x6\) is \((2,10)\) so if \(x<2\) the "function" is decreasing, while if \(x>2\) it is increasing
 one year ago

ajdirig Group TitleBest ResponseYou've already chosen the best response.0
Ok, thank you
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
therefore if \(x<2\) the inverse is the one with the negative radical, if \(x>2\) use the one with the positive radical yw
 one year ago
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