Answer:
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;+∞).