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GhostElite6383
21.12.2020 •
Mathematics
Explain why x=-8 is not part of the domain of the function y=log2(x)
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Ответ:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:
This means that we have some value y such that:
If x is -8, then:
As you can see, there is no real value* that can make the result negative. No matter what the value of y is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no real value for which 2 raised to y is -8. However, as you will learn much much later, there are in fact infinitely many complex (imaginary) solutions such that 2 raised to y is indeed -8.
Ответ:
i cant zoom rn but hey
Step-by-step explanation: