Answer:
x ≠ 7
(x < 7 or x > 7)
{x : x < 7 U x > 7}
Step-by-step explanation:
f o g = f [ g(x) ]
This means replace the x of f(x) with g(x):
f o g = [tex]\frac{4}{|g(x)|} =\frac{4}{|x-7|}[/tex]
domain = set of values that go into the function
Therefore, for f o g, domain is x ≠ 7 as the function is undefined when x = 7.
So this can be written as (x < 7 or x > 7) or {x : x < 7 U x > 7}
