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0 votes
1 answer
534 views

Determine if $f=\{(x,y)\mid 2x+3y=7\}$ is invertible. From $\mathbb R \rightarrow \mathbb R$. If it is invert it.

I am thinking this is no, because I am not even sure if this counts as a function? I am unsure how this can be a function if there exist only a few $(x,y)$s that fulfill the equation. Or does the $\...
Jude's user avatar
  • 329
0 votes
1 answer
79 views

Having trouble understanding how to disprove/prove if a formula is a function.

Is $\frac 1{x^2-2} $ a function from $\mathbb{R}\to \mathbb{R}$? Is it a function from $\mathbb{Z}\to \mathbb{R}$? I have been thinking about this but, I can't find any example for which you can have ...
Jude's user avatar
  • 329
2 votes
1 answer
1k views

Why is this not a function?

This problem is from Discrete Mathematics and its Applications This is the definition that the book gave of function Here is my work so far It's pretty clear to me that 1b and 1c are not functions ...
committedandroider's user avatar
1 vote
0 answers
44 views

Question concerning defining a particular class of functions

I have a multiset of real numbers $X \subseteq \mathbb{R} $ and I want to create a class of injective function to map the elements of $X$ to the unit interval(so basically a normalization). However ...
alexT's user avatar
  • 75
1 vote
0 answers
23 views

Existence of a particular transformation

I've a set of data points $S = \{ x | x\in [0,1]\}$ (i.e. real values from the unit interval). In some cases I've big clusters in the data and I want to spread the values in between the unit interval ...
alexT's user avatar
  • 75
0 votes
1 answer
51 views

One to one function behaviour

Like in pigeon hole principle , if one set of objects(S1) has more items than others set of objects(S2) and we try to fit that S1 in S2 ( that is mapping the values of S1 to S2 , we end up getting ...
justanswerit's user avatar