Given:
f(x) = x^2 + 4x + 4 and g(x) = x^2 - 2x - 8.
we are to find the domain of (f/g) (x)
before we find the domain of the function, its best we know what a domain is.
The Domain of a function is the set of all possible inputs for the function. it can also be seen as the set of input or arguement values for which the function is real and defined.
recall that we have x + 2 as our the simplest form
x - 4
so the domain we wil be looking for is x + 2
x - 4
so we have to take t denominator of the above and compare to zero
x - 4 = 0
x = 4
so this is undefined
the function domain
x < 4 or x > 4
so the domain is:
(- infinity, 4) U (4, infinity)
The correct option is A.