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.*

PhoenixForever
Nov 16, 2018

#1**+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.

ElectricPavlov
Nov 16, 2018

#2**+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!!!

CPhill
Nov 16, 2018

#3**+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