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: