SOLUTION: All sqaure root x-2 over x-1 find domain my answer is [2, positive infite) I am right that answer

Algebra.Com
Question 342768: All sqaure root x-2 over x-1 find domain
my answer is [2, positive infite) I am right that answer

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
No, not completely.
.
.
.
The square root function needs a non-negative argument.

Break up the number line into 3 regions.
Region 1:(,)
Region 2:(,)
Region 3:(,)
Choose a point in the region, not an endpoint.
Test the inequality.
If the inequality is satisfied, the region is part of the solution.
.
.
.
Region 1:



True, this region is part of the solution.
.
.
.
Region 2:




False, this region is not part of the solution.
.
.
.
Region 3:



True, this region is part of the solution.
.
.
.
Since also solves the inequality, it is also included.
is not included in any solution region because it leads to a division by zero.
.
.
.
Domain:(,) U [,)

RELATED QUESTIONS

I have no idea why function problems scare me! Here's my questions: Find the domain for (answered by stanbon)
Hello, I am having diffuclties understanding this problem. Find all real and... (answered by stanbon,jim_thompson5910)
I just need to check to see if these are right since the ones I have had double checked... (answered by Cintchr,checkley75)
Can you tell me if I am working this problem correctly. I am simplifing the expression,... (answered by checkley71)
Can you tell me if I am working this problem correctly. I am simplifing the expression,... (answered by MathLover1)
√(x^2-x)+7=2(x^2-x)-1 The first part is all in the square root. I cannot get the... (answered by lwsshak3)
3x^2/x+1 + 3x/x+1 add my answer was 1 am i... (answered by checkley77)
I am having some trouble with Quadratic Formulas. Here is my problem: x^2-5x-5=0 Here is (answered by stanbon)
I'm quite lost, was wondering if anyone could help me. The function g is defined below (answered by josgarithmetic)