Let f(x)={k(x)if x>3,x2−6x+12if x≤3.
Find the function k(x) such that f is its own inverse.
Sorry for repost, but Guest got it wrong... (No offence to guest, I greatly appreciate him/her attempt to help)
We have k(x)=3−√x−3
Obtain by solving the quadratic x=k2−6k+12 for k and choosing the branch that is a reflection of x2−6x+12 in the line y = x.
thank you somuch
+171 
