Domain of a Function: Find the domain of the function

Finding the Domain of a Square Root FunctionFind the domain of an expression with fractionsMultiple domains
Question 1

Look at the following function:

\( \frac{5+4x}{2+x^2} \)


Does the function have a domain? If so, what is it?

Examples with solutions for Domain of a Function: Find the domain of the function

Exercise #1

Look at the following function:

5+4x2+x2 \frac{5+4x}{2+x^2}


Does the function have a domain? If so, what is it?

Video Solution

Step-by-Step Solution

Since the denominator is positive for all x x , the domain of the function is the entire domain.

That is, all values of x x . Therefore, there is no domain limits.

Answer

No, the entire domain