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# The function is defined for as

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The function  is defined for  as follows:Find all real numbers  such that

If you find more than one answer, list them all, separated by commas.

Jan 8, 2015

#1
+95356
+10

2x+1=x

x=-1     this is NOT in the relevant domain so its no good

7-x=x

7=2x

x=3.5   not in given domain

10-2x=x

10=3x

x=10/3       YES

10-x=x

10=2x

x=5           YES

so there are 2 solutions

$$x=5\qquad or \qquad x=3\frac{1}{3}$$

pleasse ask if you do not understand :)

Jan 8, 2015

#1
+95356
+10

2x+1=x

x=-1     this is NOT in the relevant domain so its no good

7-x=x

7=2x

x=3.5   not in given domain

10-2x=x

10=3x

x=10/3       YES

10-x=x

10=2x

x=5           YES

so there are 2 solutions

$$x=5\qquad or \qquad x=3\frac{1}{3}$$

pleasse ask if you do not understand :)

Melody Jan 8, 2015
#2
+94548
+5

Very impressive,  Melody...!!!!!

[I tried a WAY more complicated approach....it didn't work as well as this....LOL!!!....genius in simplicity.....!!! ]

Jan 9, 2015
#3
+95356
+5

Well it is nice to know that I am capable of choosing a simple method sometimes.

This is very rare for me.    LOL

Jan 9, 2015
#4
+94548
0

LOL!!!!

Jan 9, 2015