Question

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?
p(x) and q(x) have the same domain and the same range.
p(x) and q(x) have the same domain but different ranges.
p(x) and q(x) have different domains but the same range.
p(x) and q(x) have different domains and different rang

Answer 1

p(x) = 6 − x and q(x) = 6x are linear with nonzero slopes, so both are defined for all real x and take all real values. Therefore they have the same domain (all real numbers) and the same range (all real numbers).