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ejohnstonee111
25.07.2019 •
Mathematics
What is the domain of the function f(x)= x + 1 / x^2 - 6x + 8? answer fast im timed all real numbers all real numbers except –1 all real numbers except –4 and –2 all real numbers except 2 and 4
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Ответ:
Explanation:
The given function is:
f(x) =
Domain of the function is defined as the values of x that can be used to substitute in the function.
We know that any fraction cannot have a zero in its denominator. Because if this happens, then the fraction would be undefined.
This means that in the given function, we cannot substitute with any value for x that makes the denominator a zero.
Now, we will get the zeroes of the denominator as follows:
x² - 6x + 8 = 0
(x-4)(x-2) = 0
either x-4 = 0 ...........> x = 4
or x-2 = 0 .............> x = 2
Based on the above, we can substitute with any value for x excluding 4 and 2.
This means that the domain of the function is any real real number except 4 and 2
Hope this helps :)
Ответ: