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

1 Answer
Ratnaker Mehta
Jul 1, 2016

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.

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