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milkshakegrande101
16.10.2019 •
Mathematics
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
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Ответ:
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.
Ответ:
Oh, really? Funny Joke!
Step-by-step explanation: