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domain 20(x−3)(x+4)(x−3)2(x−5)
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Solution
x<3or3<x<5orx>5
+1
Interval Notation
(−∞,3)∪(3,5)∪(5,∞)
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Function range definition
The set of values of the dependent variable for which a function is defined
The function range is the combined domain of the inverse functions
Find the inverse function(s) of: 20(x−3)(x+4)(x−3)2(x−5)
Inverse of 20(x−3)(x+4)(x−3)2(x−5):4x+10+√x2+160x+100x,4x+10−√x2+160x+100x
4x+10+√x2+160x+100x,4x+10−√x2+160x+100x
Find the domain of each inverse function
Domain of 4x+10+√x2+160x+100x:x≤−30√7−80or30√7−80≤x<0orx>0
Domain of 4x+10−√x2+160x+100x:x≤−30√7−80or30√7−80≤x<0orx>0