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Welcome to the Calculus transit lounge! Bring your comments, questions and thoughts and get help.
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Students should feel free to use this blog as a vehicle for exchange of ideas and concepts. If some topics in Calculus are particularly challenging then try browsing some of the "Reference Websites" included in this blog. There you will find some neat tutorials for concepts we have covered in class and some great visualization tools as well. Ofcourse, Calculus is not without its history and so there are many links dedicated to the history of calculus and the history of math in general.
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2 comments:
For Test #1, problem #12, why is 11 the answer? I understand how to solve the given function for t, but then I am not sure where to go from there.
Well, once you solve for t then you are being asked what the value of t is when the input (previously the output) is 2. In an inverse function you are solving for the input so that what were inputs serve as outputs and what were outputs serve as inputs. The inverse notation is peculiar only because of the preference for representing outputs with f. However, after solving for t, it would be perfectly okay to say that t(f)=f^3 + 3. Then the specific question would be what is t(2)? This is what the question has asked for.
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