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avatar+381 

Its a rational expressions problem.

 

What are the domain restrictions of the expression   h^2+3h−10

                                                                                  _________

                                                                                  h^2−12h+20 ?

Select each correct answer.

 

h≠−10

h≠−2

h≠10

h≠2

h≠−5

h≠5

 

Please and thank you! 0^>

 

Also, hope you are all having a good morning. Its chilly out! I'm not a cold weather person, shame on me.

 Nov 16, 2018
edited by PhoenixForever  Nov 16, 2018
 #1
avatar+19697 
+2

The DENOMINATOR cannot equal ZERO

The denominator factors to   (h-2)(h-10)       so h   (or x) cannot equal 2 or 10....all other values of h (or x) are allowed.

 Nov 16, 2018
 #2
avatar+106515 
+2

We have a "rational" function here, Phoenix  [ a ratio of functions ]  

 

The domain restrictions  are the values of h that makes the denominator = 0

 

So

 

h^2 - 12h + 20   =   0      factor

 

(h - 10) ( h - 2)  = 0

 

Set each factor to 0

 

h - 10  = 0                    h - 2  = 0

h = 10                          h = 2

 

So....h = 2 ,  h =10   are the domain restrictions

 

HAHAHA!!!!!. I live in Louisiana.....after our brutal Summers, a bit of cold weather is welcome....but......not too cold!!!

 

cool cool cool

 Nov 16, 2018
 #3
avatar+381 
+1

Thanks CPhill! Yes, let's hope the weather does not get much colder!!! At least you get a break from Louisiana sun.laugh It's going to be a freezing Oregon winter here lol.

PhoenixForever  Nov 16, 2018

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