SOLUTION: Please help me sole this: FIND THE DOMAIN OF THIS FUNCTION: h(x)=10/(x^2-2x).

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Question 57047This question is from textbook
: Please help me sole this: FIND THE DOMAIN OF THIS FUNCTION: h(x)=10/(x^2-2x). This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
FIND THE DOMAIN OF THIS FUNCTION: h%28x%29=10%2F%28x%5E2-2x%29.
With rational functions, the domain is all real numbers EXCEPT anything that makes the denominator (the bottom of the fraction) =0.
In this case, your denominator is: x%5E2-2x
Factor that: x%5E2-2x=x%28x-2%29
x(x-2) cannot = 0 therefore according to the zero product property
x(not=)0
and x-2(not=)0
x-2+2(not=)0+2
x(not=)2
In set builder nototion the domain:{x|x(not=)0, and x(not=)2}
In interval notation the domain: (- infinity,2)U(2,infinity)
Happy Calculating!!!