Question

Find the inverse of the relation {(1,1), (-1,1), (2,4), (-2,4)}. Is the inverse still a function?

Answer 1

just flip the elements of the ordered pairs
\[ \LARGE (-1,1)\to(1,-1) \]
for example

Answer 2

so its a function

Answer 3

i dont't know.
what are the domain and codomain of the function you wrote?

Answer 4

(1,1), (1,-1),(4,2),(4,-2)

Answer 5

that is the function!
for example: let
\[ \LARGE f:\{1,2,3,4\}\to\{6,7,8\} \]
such that
\[ \LARGE f=\{(1,7),(2,6),(3,8),(4,8)\} \]
the inverse relation would be
\[ \LARGE f^{-1}=\{(7,1),(6,2),(8,3),(8,4)\} \]
is this a function? why?

Answer 6

so its a function right

Answer 7

you didn't answer!

Answer 8

ohh oops