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

Algebra ->  Functions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
You also need to solve 3-x%3E=0 to get x%3C=3

So x%3C%3E3, x%3C%3E5, and x%3C%3E-1 to avoid dividing by zero. In addition, x%3C=3 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 x%3C=3 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.