Rational Expression Restrictions

Front

What are the domain restrictions for the rational expression \( \frac{1}{x-2} \)?

Back

x ≠ 2

Front

What value makes the expression \( \frac{1}{x-5} \) undefined?

Back

5

Front

State the excluded values for the expression \( \frac{1}{x^2 - 4} \).

Back

x ≠ 2, -2

Front

What is a rational expression?

Back

A fraction where the numerator and denominator are polynomials.

Front

How do you find the domain of a rational expression?

Back

Set the denominator equal to zero and solve for x.

Front

What happens to a rational expression when the denominator is zero?

Back

The expression is undefined.

Front

Identify the excluded values for \( \frac{2}{x^2 - 9} \).

Back

x ≠ 3, -3

Front

What is the domain of the expression \( \frac{3}{x+1} \)?

Back

x ≠ -1

Front

If \( x^2 - 1 = 0 \), what are the excluded values?

Back

x ≠ 1, -1

Front

What is the significance of excluded values in rational expressions?

Back

They indicate values that make the expression undefined.