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

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Answer 1 · 2016-07-01T13:43:48

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

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.

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