Final answer:
The function h(x) = 3x^4 - 2x - 5/x + 9x^3 - 7 is a polynomial function.
Step-by-step explanation:
A polynomial function is a function where the variable is raised to a non-negative integer power and multiplied by a coefficient. In the given function, h(x) = 3x^4 - 2x - 5/x + 9x^3 - 7, the variable x is raised to powers 4, 1, and 3, which are all non-negative integers. Hence, h(x) is a polynomial function. Therefore, the correct option is a) Yes.