SOLUTION: Suppose f(x) = (x+4)/(x^2-4x-5) and g(x)= (3-x)^1/2 (square root of 3-x) Algebraically determine the domain of f(x)/g(x) I tried it out myself and got like x cant equal 3,5 and

Question 996063: Suppose f(x) = (x+4)/(x^2-4x-5) and g(x)= (3-x)^1/2 (square root of 3-x)
Algebraically determine the domain of f(x)/g(x)
I tried it out myself and got like x cant equal 3,5 and -1 but am not sure how to put this into interval notation etc.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You also need to solve to get

So , , and to avoid dividing by zero. In addition, to make sure the stuff under the square root isn't negative.

Put this all together to get this final answer in interval notation

Note: you basically start with and convert to interval notation. You don't need to worry about x = 5 because that's not even in the interval. Then you just pull out x = -1 to get that final answer above.
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