SOLUTION: Hello tutors! Please help me with the problems in the link, show your work as well. Gladly appreciated :) http://imgur.com/y2K8yQq

Algebra ->  Rational-functions -> SOLUTION: Hello tutors! Please help me with the problems in the link, show your work as well. Gladly appreciated :) http://imgur.com/y2K8yQq      Log On


   

Question 1031070: Hello tutors! Please help me with the problems in the link, show your work as well. Gladly appreciated :)

http://imgur.com/y2K8yQq
Answer by josgarithmetic(39800) About Me  (Show Source):
You can put this solution on YOUR website!
Only #23 for you.

Find inverse of f(x)=-2x^2+6 for x<=0;

Simple enough to exchange "y" and x.
-2y%5E2%2B6=x
-2y%5E2=x-6
y%5E2=%281%2F2%29%286-x%29
y%5E2=-%281%2F2%29%28x-6%29
y%5E2=%286-x%29%2F2
y=0%2B-+sqrt%28%286-x%29%2F2%29 or f%5E-1%28x%29=0%2B-+sqrt%28%286-x%29%2F2%29.

When you look at the requested graph, you want to take the part that is for y%3C=0, because the inverse exchanged x and y.

Choose what you need from this RELATION (which includes BOTH inverse function branches).
graph%28400%2C400%2C-8%2C8%2C-8%2C8%2Csqrt%28%286-x%29%2F2%29%2C-sqrt%28%286-x%29%2F2%29%29