# Questions tagged [inverse]

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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 ...
• 2,699
1k views

### 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 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 ...
• 109
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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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### 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 ...
### 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 ...