SOLUTION: How do you find the domain of the function f(x)= 3x+1/square root of x^2+x-2

Algebra.Com
Question 1157282: How do you find the domain of the function f(x)= 3x+1/square root of x^2+x-2

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

In the denominator, you see .


In order for you will be able to take the square of a number, this number MUST be non-negative.


So, you first need to solve this inequality

     >= 0.


Factor left side

     >=0.


Either both factor should be negative, or both factors should be positive.


It gives you the solution set  x <= -2  or  x >= 1.


Also, x = -2 makes the denominator equal to zero, as well as the value x = 1.


Therefore, you must exclude them from the domain.


Finally, the domain is the union of two open intervals  (-oo,-2) U (1,oo).    ANSWER

Solved.

---------------

The "solution" by @josgarithmetic is WRONG.

Simply ignore it for your safety.



RELATED QUESTIONS

find the domain of the function f(x)=x+6-(square root of x+2)... (answered by longjonsilver)
find the domain of the function f (x) = square root of 12 − 3x^2 (answered by Edwin McCravy)
How do you solve domains of functions? For example, f(x)=square root of (x-2)... (answered by lwsshak3)
How do you answer the following questions? Given f(x)= x – 3 and g(x)=square root of... (answered by stanbon)
find the domain of f(x) = square root x+2 divided by... (answered by It is costly)
How do you find the range of this function? f(x)=3x+2 that has the domain of... (answered by solver91311)
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! each of the following (answered by stanbon)
How do you find the domain of f. Given the function... (answered by solver91311,reviewermath)
Given the function f(x)= square root:2x-1. c. find the domain of... (answered by user_dude2008)