What are the domain and range of the real-valued function f(x)=2/x? select one: a. the domain is all real numbers except 0. the range is all real numbers except 0. b. the domain and the range are all real numbers. c. the domain is x> 0. the range is f(x)> 0. d. the domain is all real numbers except 0. the range is all real numbers.

For this case we have the following function:
 f (x) = 2 / x
 We note that the denominator of the function is not defined for:
 x = 0
 Thus,
 the domain is all the real distintios of zero.
 the range is all the real distints of zero. 
 
 a. The domain is all real numbers except 0. The range is all real numbers except 0.

The domain of a function is the set of all possible values of dependent variable. 
The range of a function is the set of all possible results. 

In the case above, the domain of f(x)=2/x? is all real numbers of x except 0.
The range of f(x)=2/x? is the set all real numbers except 0.

∴ From the choices, the given the answer is,
a. The domain is all real numbers except 0. The range is all real numbers except 0