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alex_vs_gmail
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Homework Statement
Denote the xy plane by P. Let C be some general curve in P defined by the equation f ( x , y ) = 0
where f ( x , y ) is some algebraic expression involving x and y.
Verify carefully that if B : P -> P is any bijection then B( C ) is defined by the equation
f ( B^-1 (x , y)) = 0
I have no idea where to even start. Like, I really don't want an answer to it, I'd much rather be given a nudge in the right direction as none of my textbooks mention any explanation as to how these problems could/would be proven.
Thanks!