anonymous
  • anonymous
Can anyone help find the inverse of the fxn: y=x^(2)+4x-6
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
it is not a one to one function, so it is unlikely that it has an inverse
anonymous
  • anonymous
there are 2 inverses, depending on the chosen domain
anonymous
  • anonymous
I have the answer, I just don't understand how to get there

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
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 \[x=-2\pm\sqrt{y+10}\]
anonymous
  • anonymous
where did the +4 come from?
anonymous
  • anonymous
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
anonymous
  • anonymous
aka "completing the square"
anonymous
  • anonymous
ahh, thank you, I never would have thought to complete the square
anonymous
  • anonymous
yw
anonymous
  • anonymous
satellite73 do you know the domains?
anonymous
  • anonymous
sure it is given by the plus minus part
anonymous
  • anonymous
the question is worded strangely, it asks which domains lead to the two inverses
anonymous
  • anonymous
vertex of the parabola \(y=x^2+4x-6\) is \((-2,-10)\) so if \(x<-2\) the "function" is decreasing, while if \(x>-2\) it is increasing
anonymous
  • anonymous
Ok, thank you
anonymous
  • anonymous
therefore if \(x<-2\) the inverse is the one with the negative radical, if \(x>-2\) use the one with the positive radical yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.