Find the domain of fg

f (x) = x+2

g (x) = 1/x+2

a. all real numbers

c. all real numbers, except - 2

b. all real numbers, except 2

d. (-2, 0) U [2, - 2)

We have the following functions:

f (x) = x + 2

g (x) = 1 / x + 2

Multiplying we have:

(f * g) (x) = (x + 2) * (1 / x + 2)

Rewriting:

(f * g) (x) = (x + 2 / x + 2)

(f * g) (x) = 1

Therefore, the domain of the function is any real number.

Answer:

a. all real numbers