SOLUTION: How do you find the domain of f(x)= x+3/squre root of 2x-7?

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Question 431456: How do you find the domain of f(x)= x+3/squre root of 2x-7?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is the set of all possible values of f(x).
The function f%28x%29+=+%28x%2B3%29%2Fsqrt%282x-7%29 will be undefined if the denominator equals zero.
This occurs at x = 7/2. The function is defined for all other values of x.
Therefore, the domain is (-infinity,7/2) U (7/2,infinity)
where the open bracket means not including the endpoint and U means the union of these two intervals.
The graph is shown below:
graph%28300%2C300%2C-10%2C10%2C-40%2C40%2C%28x%2B3%29%2Fsqrt%282x-7%29%29