Question

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

Answer 1

Are you sure you wrote the problem correctly?

Answer 2

oops I mean +3 instead of = 3 sorry

Answer 3

So you want to find the inverse of \(f(x)=4+(-13x+9)^2+3\)?

Answer 4

I mean \(f(x)=4(−13x+9)^2+3\).

Answer 5

correct

Answer 6

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).

Answer 7

is it because it's squared?

Answer 8

Yes, parabolas are not one-to-one functions.

Answer 9

so parabolas will never be one- to -one functions, so the answer is no solution?

Answer 10

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.

Answer 11

k thank you

Answer 12

You're welcome!