## What are the restrictions of a rational expression?

To find the restricted values of a rational expression: Set the denominator equal to zero. Solve the equation. The solution or solutions are the restricted values.

### Do rational functions have restrictions?

Domain restrictions of a rational function can be determined by setting the denominator equal to zero and solving. The x -values at which the denominator equals zero are called singularities and are not in the domain of the function.

**Is it possible for a rational expression to have no excluded values?**

There are no numbers that can do this, so we say “division by zero is undefined”. In simplifying rational expressions you need to pay attention to what values of the variable(s) in the expression would make the denominator equal zero. These values cannot be included in the domain, so they’re called excluded values.

**Why do rational expressions have restrictions?**

The restriction is that the denominator can not be equal to zero. So in this problem, since 4x is in the denominator it can not equal zero. Find all values of x that give you a zero in the denominator. To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.

## Which is not a rational algebraic expression?

A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √x + 4.

### What are excluded rational expressions?

Excluded values are simply that: values that are excluded, or left out. These are values that will make the denominator of a rational expression equal to 0. Remember, you’re not allowed to divide by 0, so these values are important to identify and exclude while solving.

**What is not a rational expression?**

**How do you find the domain restrictions of a rational expression?**

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

## What are examples of restrictions?

Restriction definition Something that restricts; a regulation or limitation. A restriction banning dogs from the beach. The definition of a restriction is a limitation. An example of a restriction is not being allowed to drink alcohol until you’re 21 years old.