SOLUTION: Hello! I am working on combining functions, and I have a problem. The problem is f(x)= 2/x and g(x)= 4/x+4 and i am to add them together. I know it is set up as 2/x +4/x+4 and when

Algebra ->  Functions -> SOLUTION: Hello! I am working on combining functions, and I have a problem. The problem is f(x)= 2/x and g(x)= 4/x+4 and i am to add them together. I know it is set up as 2/x +4/x+4 and when      Log On


   

Question 848238: Hello! I am working on combining functions, and I have a problem. The problem is f(x)= 2/x and g(x)= 4/x+4 and i am to add them together. I know it is set up as 2/x +4/x+4 and when i work it out, I don't get the answer like it is in the book. The book says 6x+8/x2+4x and I have no idea to get that
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This is simply a matter of arithmetic, and maybe differences among equivalent forms.

You want f(x)+g(x).

Assuming you are missing certain parentheses, I am using them.
2%2Fx%2B4%2F%28x%2B4%29
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Simplest common denominator is x%28x%2B4%29.
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%282%2Fx%29%28%28x%2B4%29%2F%28x%2B4%29%29%2B%284%2F%28x%2B4%29%29%28x%2Fx%29
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%282%28x%2B4%29%29%2F%28x%28x%2B4%29%29%2B4x%2F%28x%28x%2B4%29%29
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%282x%2B8%29%2F%28x%28x%2B4%29%29%2B4x%2F%28x%28x%2B4%29%29
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%282x%2B4x%2B8%29%2F%28x%28x%2B4%29%29
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%286x%2B8%29%2F%28x%5E2%2B4x%29