Question

G(x) to g(x)=-[x]+3 what is the domain of g(x)?

Answer 1

ANSWER

(-∞,∞)

EXPLANATION

The given function is

g(x)=-[x]+3

The parent greatest integer function is

f(x)=[x]

This function has been shifted down by 3 units and reflected in the x-axis.

The domain is all real numbers.

The reason is that any x-value has a corresponding y-value.