Find the functions and their domains (enter the domains in interval notation.)f(x)= x + (1/x)g(x)= x + 17 / x+2(a) f o g

f o g =

(-∞; -17)∪(-17;-2)∪(-2;+∞)

Step-by-step explanation:

Calculate f o g is equal to do f(g(x)).

To calculate it, we need to replace each x in f(x) with g(x)= .  

f o g =

The domain of f o g is the set of all real numbers x such that x is in the domain of the function g and g(x) is in the domain of the function f. The domain of g(x) is all the real numbers without -2 because the denominator can't be zero. And the domain of f(x) is all the real numbers without 0 for the same reason.

We need to see when g(x) = 0

Therefore, the domain of f o g is all the real numbers without -2 and -17.

Written as an interval is (-∞; -17)∪(-17;-2)∪(-2;+∞).