Final answer:
The domain of the function h(x) = (x-3)⁻¹.⁴ is all real numbers except x = 3.
Step-by-step explanation:
The domain of the function h(x) = (x-3)⁻¹.⁴ is all real numbers except x = 3, because the function is undefined when the denominator is zero. In this case, the denominator is (x-3)⁻¹.⁴, which becomes zero when x = 3.