SOLUTION: please help me solve the following problem. problem:Determine the domain of each function. i)f(x)=x+2/x ii) f(x)=2x+1/sq.root of x-1

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Question 76857: please help me solve the following problem.
problem:Determine the domain of each function.
i)f(x)=x+2/x
ii) f(x)=2x+1/sq.root of x-1
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve the following problem.
problem:Determine the domain of each function.
i)f(x)=x+2/x
ii) f(x)=2x+1/sq.root of x-1

Domain is what the x's are allowed to be.
For i, denominators can be anything except for 0. Therefore, the domain for i is {x|x not=0} <--set builder notation
(-infinity,0)U(0,infinity) <--interval notation
:
For ii, denominators can be anything except 0, but even roots have to be positive or 0 on the inside. In this case the denominator is a square root, so what is inside of the square root has to be positive and not equal to 0.
x-1%3E0
x-1%2B1%3E0%2B1
x%3E1
Therefore, the domain of ii is {x|x>1} set builder notation
(1,infinity) set builder notation.
Happy Calculating!!!