math

posted by .

What's the domain of √((x-2)/(x^2+x-6))

(2,infinity] ?

  • math -

    The proposed answer is good for √(x-2).
    However, since the denominator becomes negative between -2 and 1, the expression in the square-root radical is therefore positive on this interval.
    So the domain can be revised to [2,∞)∪(-2,1).
    Note that +2 is within the domain, because the denominator becomes zero. However, -2 and 1 are excluded because the denominator becomes zero.

  • math -

    When I factor out the bottom its x=-3 and x=2, how did you get -2 and 1? Why is +2 included? Doesn't it become undefined when x=2?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x-y=1 and x+y=-2. a. (3√2 +√10)x-(√10 + √2)y-2√10+√2=0 b. (3√2 - √10)x+(√10 - √2)y+2√10+√2=0 …
  2. Math

    f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function?
  3. Algebra

    I know what the answer is just not how to exopress it. Can someone help me please?
  4. Algebra

    I know what the answer is just not how to exopress it. Can someone help me please?
  5. Math Please Check

    Please tell me if this are right. Thank you! Find the exact location of all the relative and absolute extrema?
  6. algebra 2

    what is the domain in interval notation when the restrictions are x cannot = 2 and x cannot = -2?
  7. 8th grade algebra

    Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 = √2
  8. Algebra

    1.Simplify the radical expression. √5+6√√5 A.5√5 B.7√10 C.7√5 D.5√10 2.Simplify the radical expression. 2√6+3√96 A.14√6 B.14√96 C.5√96 D.50√6 3.Simplify …
  9. Algebra 1B Radical expressions & data analysis

    1. Simplify 2/√5 A. 2/√5 B. √10 C. √10/5 D. 2√10/5 *** My answer 2. Simplify -11√112 A. -44√7 B. -176 √7 C. -27 √7 D. 4√7 *** My answer 3. Simplify 17√17 -9 √17 …
  10. Math

    What is the domain of f/g, given f(x)= x+2 and g(x)= x-7?

More Similar Questions