i need to find the inverse of f(x) = x^2-4x+3 how do you do it when you have x^2 and x?

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- Nov 22nd 2009, 03:20 PMkattinverse functions
i need to find the inverse of f(x) = x^2-4x+3 how do you do it when you have x^2 and x?

- Nov 22nd 2009, 03:21 PMskeeter
- Nov 22nd 2009, 04:10 PMmosta86
Y=x^2-4x+3 => x^2-4x+3-y=0

delta'=4-3+y=1+y

=> x1=2+squareroot(1+y)

and x2=2-squareroot(1-y)

this is the inverse you choose x1 or x2 depending on the constrains given . - Nov 22nd 2009, 04:58 PMskeeter

swap x and y ...

restrict the domain of the original function to , and the inverse function is