+0

0
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Its a rational expressions problem.

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

_________

h^2−12h+20 ?

h≠−10

h≠−2

h≠10

h≠2

h≠−5

h≠5

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
+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
+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!!!

Nov 16, 2018
#3
+381
+1

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

PhoenixForever  Nov 16, 2018