ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
[tex]f(x) = \sqrt[3]{x - 6} + 5[/tex]
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
