SOLUTION: Find the domain of the composite function f•g f(x)= x+6 g(x)=3/x+6

Algebra ->  Rational-functions -> SOLUTION: Find the domain of the composite function f•g f(x)= x+6 g(x)=3/x+6      Log On


   



Question 1143154: Find the domain of the composite function f•g
f(x)= x+6
g(x)=3/x+6

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28g%28x%29%29, the COMPOSITE Function.

AS WRITTEN, f%28x%29=x%2B6 and g%28x%29=3%2Fx%2B6.

f%28g%28x%29%29=%283%2Fx%2B6%29%2B6
f%28g%28x%29%29=3%2Fx%2B12

Domain is the real numbers EXCLUDING 0.
The union of x%3C0 and x%3E0.