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Which rational expression does not have any excluded values?

a.x+2/2x2


b.2x+4/3x+3


c.6x-5/x2-7


d.x+2/-x2-5

2 Answers

3 votes

Answer:

D is the correct answer

Explanation:

i just took the test on edge

User LadderLogic
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3 votes

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

ƒ(x) = x + 2/(2x²)

The function is undefined when x = 0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

User Stevi
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