Question

which rational function has a domain of all real numbers​

Answer 1

Answer:

To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x . For example, the domain of the parent function f(x)=1x is the set of all real numbers except x=0 . Or the domain of the function f(x)=1x−4 is the set of all real numbers except x=4 .

Answer 2

Step-by-step explanation:

• We know, A Function is a relation from a set of inputs (domain) to a set of possible outputs (range) where, each input can have only one output.

• A domain of a function is the set of of all possible values that can go in the function.

• In this question, we have to find a rational function that has a domain of all real numbers​, i.e., real values of x which can satisfy the function.

• An Identity Function denoted by $f(x)=y$ is a rational function where x can take all real values, that is it is a function which has a domain of all real numbers.

Hence, Identity Function denoted by $f(x)=y$ is the rational function that has a domain of all real numbers​.