Is the inverse of f(x)=4(-13x+9)^2=3 F(-1)= -(x+321) over 676

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Is the inverse of f(x)=4(-13x+9)^2=3 F(-1)= -(x+321) over 676

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Are you sure you wrote the problem correctly?
oops I mean +3 instead of = 3 sorry
So you want to find the inverse of \(f(x)=4+(-13x+9)^2+3\)?

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I mean \(f(x)=4(−13x+9)^2+3\).
correct
If so, then you need to know that this is NOT a one-to-one function. Thus it doesn't have an inverse, except for some strict domains (at which the function is one to one).
is it because it's squared?
Yes, parabolas are not one-to-one functions.
so parabolas will never be one- to -one functions, so the answer is no solution?
As I said, in general the given function doesn't have an inverse. However, you can work on "some restricted domain" of the function that's one-to-one.
k thank you
You're welcome!

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