Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity. (−[infinity], 2) (2, [infinity])

(−[infinity], −2) (−2, [infinity])

(−[infinity], 1) (1, [infinity])

(−[infinity], −1) (−1, [infinity])

Step-by-step explanation:

Given the function:

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of  domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function are the values of for which the output is a valid value.

i.e. The function does not tend to or does not have form.

So, we will check for the values of for which is not defined.

For value to tend to , denominator will be 0.

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function .

Hence, the answer is:

    [2 is not included in the domain].

the 3rd on is correct

step-by-step explanation: