SOLUTION: What is the domain of the composite function f(g(x)) where {{{f(x)=2/(x+10)}}} and {{{g(x)=60/x}}}. Please write domain in interval notation. Thanks.

Algebra ->  Functions -> SOLUTION: What is the domain of the composite function f(g(x)) where {{{f(x)=2/(x+10)}}} and {{{g(x)=60/x}}}. Please write domain in interval notation. Thanks.      Log On


   

Question 146484: What is the domain of the composite function f(g(x)) where f%28x%29=2%2F%28x%2B10%29 and g%28x%29=60%2Fx. Please write domain in interval notation. Thanks.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the domain of the composite function f(g(x)) where f%28x%29=2%2F%28x%2B10%29 and g%28x%29=60%2Fx. Please write domain in interval notation. Thanks.
-------------
f[60/x] = 2/[(60/x)+10]
= 2/[(60+10x)/x] = x/(30+5x)
Domain is all Real Numbers except x = -6
=================
Cheers,
Stan H.