What is the domain of the function y is equal to tangent of open paren x over 8 close paren ?

The tangent function is undefined when its angle equals π/2 plus an integer multiple of π. Set x/8 = π/2 + nπ and multiply both sides by 8 to get x = 4π + 8nπ, where n is any integer. Therefore, the domain is all real numbers except 4π + 8nπ, which is choice D.

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