Question 1136168: With the terms (-3,4),(-2,5),(1,6)
Graph f^-1
Find domain and range of f
And domain and range of f^-1
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! given: the terms ( , ),( , ),( , )
first determine if 3 points lie in a line
if 3 points lie in a line the slope calculated taking 2 points at a time should be equal
 ....use (,),(,)
 ..........1)
....use (,),(,)
 ......2)
from 1) and 2) we can conclude that the 3 points are  in a line
second option is to see if quadratic equation is solution:
use given points and form a system
..........(,)
 ..........solve for 
 .........1)
.........(,)
 .......2)
........(,)
 ............3)
from 1) and 2) we have
 .....solve for 
 ..........1a)
from 1) and 3) we have
 .....solve for
 .............1b)
from 1a) and 1b) we have
 ....solve for 
go to ..........1a) plug in
go to ............3) plug in and
 ...simplify
so, your equation is:
 or
find  :
..........swap  and 
 ...........solve for
 ......complete square for
so, inverse is:
=±
=±
Find domain and range of f:
domain:  (all real numbers)
range: { element :  }
And domain and range of f^-1
exclude that makes 
domain: (  , ]
range:
(all real numbers)
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