Question

When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.

Answer 1

See below

Explanation:

2x+4 / x^2-x-6

= 2(x+2)/(x-3)(x+2)

= 2/(x-3)

So the 2 expressions are equivalent

The values of x which make the expressions undefined are those values which make the denominators 0

For 2x+4/ x^2-x-6 they are X=3 and x= -2.

For 2/x-3 they are x =3.