Questions tagged [inverse]
The inverse tag has no usage guidance.
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Why are there two inverses to exponentiation?
I'm not sure if this is more educational or more "pure math", but:
For multiplication and addition, there is exactly one inverse operation, namely division and subtraction.
For ...
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Logarithm Tables - How were the values reached?
I'm teaching an Algebra II/Trigonometry class that is currently working on logarithms as the inverse function of exponential functions. Now, to keep their interest I had them struggle for a few ...
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Method of Solving $5^x=326$ (Logs not allowed)
$5^x=326$
A book titled "algebra and trigonometry" by Paul Foerster, offers this problem. It came before the logarithm chapter and specifically said not to solve with any log manipulation. It ended ...
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What are some common ways students get confused about finding an inverse of a function?
What are some common ways students get confused about finding an inverse of a function?
One I can think of is conflating multiplicative inverses of rational numbers with functional inverses. e.g. ...
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Why many people believe that: $\displaystyle c>0\implies \frac{1}{c}<0$?
I came across many people who believe the below false implication. I don't know why people believe it true in high school and middle school and also students in university level. Really I would like ...
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Why bother calculating the inverse of 3 by 3 matrix?
My government has told me that I must teach 17 year olds how to invert a 3 by 3 matrix using adjoints/cofactors, without using any technology.
Is there any reason why you would want to know how to do ...
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Apply the inverse operation on both sides, or know the inverse function?
My old question here was about logarithms, but as I teach more and more (precalculus) algebra, I've generalized the question a bit in my mind.
Should students do the same thing to both sides, or ...
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