The domain of a function is the set of values of x in which the function can be calculated.
The range of a function is the associated values of the function respect to the domain.
You have the following function:
In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:
dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)
The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:
ran y: -∞ ≤ y ≤ 3 : (-∞,3]
Hello, please consider the following.
We will multiply the numerator and denominator by
to get rid of the root in the denominator.
First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.
We need to take any x real number different from 8/3 then and simplify the expression.
Let's do it!
Thank you