The ratio is 4:6, which simplifies to 2:3.
Step-by-step explanation:
Let f be a function having domain in the set X, and range in the set Y. Then f would be invertible if there exists a function g having domain Y and range X, such as:
![{\displaystyle f(x)=y\,\,\Leftrightarrow \,\,g(y)=x](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20f%28x%29%3Dy%5C%2C%5C%2C%5CLeftrightarrow%20%5C%2C%5C%2Cg%28y%29%3Dx)
In other words, the function
is applied to an input x, and gives an outcome of y, then its inverse function, let say
, can be applied to y to give the result of x.
In other words,
y = f(x) if and only if x = g(y)
For example, considering the function
![\:\:f\left(x\right)=b\:-x](https://tex.z-dn.net/?f=%5C%3A%5C%3Af%5Cleft%28x%5Cright%29%3Db%5C%3A-x)
the inverse is:
![f^{-1}\left(y\right)=b\:-y](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Cleft%28y%5Cright%29%3Db%5C%3A-y)