A function, f(x), has a domain of D:{x|x >_-2} and a range of R:{y|y<_-3}.  Determine the domain and range of the function after the following transformations were applied: -2f(x-5)+3.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.