SOLUTION: f(x) = 5/x + 4 g(x) = x /x + 4 find the domain of (f/g)(x)

Algebra ->  Functions -> SOLUTION: f(x) = 5/x + 4 g(x) = x /x + 4 find the domain of (f/g)(x)      Log On


   

Question 660394: f(x) = 5/x + 4
g(x) = x /x + 4
find the domain of (f/g)(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+5%2F%28x+%2B+4%29

g%28x%29+=+x+%2F%28x+%2B+4%29

find the domain of %28f%2Fg%29%28x%29

%28f%2Fg%29%28x%29+=+%285%2F%28x+%2B+4%29%29%2F%28+x+%2F%28x+%2B+4%29%29



%28f%2Fg%29%28x%29+=+5%2Fx+....as you see, x is denominator, therefore cannot
be equal to zero
as you can see in f%28x%29+and+%7B%7B%7Bg%28x%29%29%29%2C+denominator+is+%7B%7B%7Bx%2B4; therefore
x+ cannot be -4

so, the domain is: x element of R, x%3C%3E0 and x%3C%3E-4