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.

Question

Evangeline Madden

Mathematics

24 November, 20:50

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.

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Answers (1)

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Carter Bridges · Answer 1

See below

Step-by-step 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.