For f(x)=5−8x and g(x)=x3 find the following composite functions and state the domain of each. ​a) ​(f ◦ ​g)(x), ​(g ◦ ​f)(x)​ b) ​(f ◦ f​)(x) a) (f ◦ g)(x)​= ___  What is the domain of (f ◦ g)(x)? (g ◦ f)(x) = ___ What is the domain of (g ◦ f)(x)? b) (f ◦ f)(x) = ____ What is the domain of (f ◦ f)(x)?

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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.