krystalhurst97
28.01.2021 •
Mathematics
Rival chocolate company is larger. They have 11 times as many workers. How many workers are employed at the chocolate company?
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Ответ:
x = -4, 1, 4
Step-by-step explanation:
The function is given as:
f(x) = (x² - x -2)/[(x² - 1)(x² -16)]
We want to find the values of x where the graph will have vertical assymptote.
Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.
Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.
We have;
[(x² - 1)(x² -16)] = 0
Thus,
x² - 1 = 0
Or
x² - 16 = 0
So;
x² = 1
x = √1
x = 1
Or
x² = 16
x = ±√16
x = ±4
Values of x that give vertical assymptote are;
x = -4, 1, 4