All Questions
3
questions
0
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Why is $\{(x, y) \in \Bbb{R}^2 | y = x^2\}$ not a function
$B = \{(x, y) \in \Bbb{R}^2 | y = x^2\}$
Why is this not a function?
I understand that to be a function it must pass the Vertical Line Test,
my only thought is that for every number in $\Bbb{R}^2$ ...
1
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3
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794
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Intrepreting tuples as functions
I have been mulling over this for a while now. I am told $\mathbb R^n$ can be interpreted as a set of functions.
Take $\mathbb R^2$, for example I can see how we might interpret it as a set containing ...
- 3,286
2
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3
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Find the inverse of $f(x,y) = (x+3y,3x+y)$
Given the function $f : \mathbb{R}^2 \to \mathbb{R}^2$ as $f(x,y) = (x+3y,3x+y)$. Find $f^{-1}$ .( Assume $f$ is a bijection)
I know how to find $f^{-1} (x) = (3x+2)$ or anything with one variable. ...
