Question

How do you find the inverse of `y=x^(2)-6x+4` and is it a function?

Answer 1

The inverse fun. of the given fun. does not exist.

Explanation:

Let `y=f(x)=x^2-6x+4=x(x-6)+4.`

Hence, `f(0)=4, f(6)=4`, indicating that the fun. `f` is not an injection, i.e., `f` is not `1-1`.

The inverse of a given fun. exists `iff` It is bijective (injective = `1-1`, surjective=onto)

Therefore, we can not find its inverse function.