Question

Find the domain of fg f(x)=x+2 g(x)=1/x+2

A. All real numbers
B. All real numbers, expect 2
C. All real numbers, except-2
D. (-2,0) U [2,-2)

Answer 1

Answer: A. All real numbers

Explanation:

Find fg;

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

= ( x + 2) / (x + 2)

= 1

In giving 1 as the product, the domain of fg is any real number.