Identify the key attribute of the domain of the reciprocal function f(x)=1x

. (1 point)
Responses

The value x=0.001
does not belong to the domain of the reciprocal function.
The value x equals 0.001 does not belong to the domain of the reciprocal function.

The value x=0
does not belong to the domain of the reciprocal function.
The value x equals 0 does not belong to the domain of the reciprocal function.

The domain of the reciprocal function is the set of all real numbers.
The domain of the reciprocal function is the set of all real numbers.

The interval (−0.1,15)
is part of the domain of the reciprocal function.

1 answer

The correct response regarding the domain of the reciprocal function \( f(x) = \frac{1}{x} \) is:

The value x=0 does not belong to the domain of the reciprocal function.

This is because the function is undefined at \( x = 0 \). The domain of the reciprocal function is all real numbers except for zero.