The function is defined for as

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The function is defined for as

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The function is defined for $1 \le x \le 5$ as follows: $f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if }1 \le x \le 2, <br /> 7 - x & \text{if }2 < x \le 3, <br /> 10 - 2x &a...$ Find all real numbers such that .

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

Guest Jan 8, 2015

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4⁺⁰ Answers

#1

+118703

+10

Best Answer

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

#4

+130477

0

LOL!!!!

CPhill Jan 9, 2015

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Melody · Answer 1 · 2015-01-08T11:38:34

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 :)

CPhill · Answer 2 · 2015-01-09T12:12:43

Very impressive, Melody...!!!!!

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

Melody · Answer 3 · 2015-01-09T12:34:42

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

This is very rare for me. LOL

The function is defined for as

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