Domain is all real numbers except 0.

Since division by 0 is undefined, (x-3) cannot be 0, and x cannot be 3.

Domain is all real numbers except 3.

Since the square root of any number less than 0 is undefined, (x+5) must be equal to or greater than zero.

## Is the domain of a function all real numbers?

Domains. The domain of a function is the set of all values for which the function is defined. For most functions in algebra, the domain is the set of all real numbers . But, there are two cases where this is not always true, fractions with a variable in the denominator and radicals with an even index.

## Which function does not have a domain of all real numbers?

Here when x<0, the function is undefined (complex) in real range. So the domain of the function is x ≥ 0. For this one – the graph simply does not exist in the negative domain.

## How do I find the domain of a function?

For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.