SOLUTION: f(x)+ 3x^2-4x+5. Explain why you can't find f^-1(x). include a graph and be specific

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: f(x)+ 3x^2-4x+5. Explain why you can't find f^-1(x). include a graph and be specific      Log On


   

Question 381432: f(x)+ 3x^2-4x+5.
Explain why you can't find f^-1(x). include a graph and be specific
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x%5E2-4x%2B5
Interchange x and y and solve for y.
x=3y%5E2-4y%2B5
x-5=3%28y%5E2-%284%2F3%29y%29
%28x-5%29%2F3=%28y%5E2-%284%2F3%29y%2B4%2F9%29-4%2F9
%28x-5%29%2F3%2B4%2F9=%28y-2%2F3%29%5E2
%283x-15%29%2F9%2B4%2F9=%28y-2%2F3%29%5E2
%283x-15%2B4%29%2F9=%28y-2%2F3%29%5E2
%283x-11%29%2F9=%28y-2%2F3%29%5E2
y-2%2F3=0+%2B-+sqrt%283x-11%29%2F3
y=2%2F3+%2B-+sqrt%283x-11%29%2F3
This new y is the inverse of the original function.
highlight%28f%5E%28-1%29%28x%29=2%2F3+%2B-+sqrt%283x-11%29%2F3%29
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