SOLUTION: Please explain how to solve this: Let f(x) = 1/(x + 4) and g(x) = 8x/(x + 4) Find f (x) + g(x), f (x) − g(x), f(x*)g(x), and f (x)/g(x) Find the intervals for the dom

Algebra ->  Functions -> SOLUTION: Please explain how to solve this: Let f(x) = 1/(x + 4) and g(x) = 8x/(x + 4) Find f (x) + g(x), f (x) − g(x), f(x*)g(x), and f (x)/g(x) Find the intervals for the dom      Log On


   

Question 911767: Please explain how to solve this:
Let f(x) = 1/(x + 4) and g(x) = 8x/(x + 4)
Find f (x) + g(x), f (x) − g(x), f(x*)g(x), and f (x)/g(x)
Find the intervals for the domain for each function and enter the endpoint values
f (x) + g(x) =
f (x) − g(x) =
f (x)g(x) =
(f (x))/(g(x)) =
Thanks
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Let f%28x%29+=+1%2F%28x+%2B+4%29+ and g%28x%29=+8x%2F%28x+%2B+4%29




domain:
{ x element R : x%3C%3E-4 }

f+%28x%29+-g%28x%29+=+1%2F%28x+%2B+4%29-8x%2F%28x+%2B+4%29=+%281-8x%29%2F%28x+%2B+4%29+

domain:
{ x element R : x%3C%3E-4 }


f+%28x%29g%28x%29+=+1%2F%28x+%2B+4%29%2A8x%2F%28x+%2B+4%29=+8x%2F%28x+%2B+4%29%5E2+
domain:
{ x element R : x%3C%3E-4 }




{x element R : x%3C%3E-4 and x%3C%3E0}