Question

(b) What is the domain of g(x)? Briefly explain your reasoning.

Answer 1

The domain is the set of all possible x-values that the function can assume.

Given the function:

$g(x)=\frac{2}{x}$

To find the domain, we have to look for restrictions for x-values.

It is known that the denominator of a fraction can not be zero.

Then, x ≠ 0.

So, the domain is of g(x) is (-∞,0) U (0, ∞).