Final answer:
The constant coefficient of the function f(x) = 1/5x⁶ + 4x⁵ - √7x - 8 is -8.
Step-by-step explanation:
To find the constant coefficient of the function f(x) = 1/5x⁶ + 4x⁵ - √7x - 8, we need to identify the term that does not contain any variables, since the constant coefficient refers to the coefficient of the term without any variables. In this case, the constant coefficient is -8 (option A).