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Answer:
The interval of increase of g(x) is .
Step-by-step explanation:
The interval of increase occurs when first derivative of given function brings positive values. Let be , the first derivative of the function is:
The following condition must be met to define the interval of increase:
The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:
The solution to this inequation is:
Now, the solution to this expression in interval notation is:
<h2>Explanation:</h2>
Hello, remember you need to write complete questions in order to get good and exact answers. Here you haven't provided any fractions, so I'll give you my own fractions.
The first fraction is:
The second fraction is:
So let's say that difference is:
Therefore, the result is:
The representation of this problem is shown using the number line below. As you can see, we have written both 1/2 and 1/4 and the difference is also indicated giving the result 1/4. That is, if we walk from 1/4 to 1/2 we'll walk 1/4 units.