In this lesson, we will learn how to find the domain of rational functions.

Q1:

The domain of an algebraic fractional function is the set of all real numbers except the .

Q2:

Find the value of given where is undefined.

Q3:

Q4:

Q5:

Find the domain and range of the function .

Q6:

Determine the domain and the range of the function in .

Q7:

Q8:

Determine the domain and the range of the function represented in the shown figure.

Q9:

Determine the domain and the range of the function .

Q10:

Q11:

Define a function on real numbers by .

What is the domain of this function?

Find the one value that cannot take.

What is the range of this function?

Q12:

Determine the domain of the function .

Q13:

Given that , determine the domain on which the function has a multiplicative inverse.

Q14:

Given that the domain of the function is , what is the value of ?