J.branco Posted February 7, 2006 Share Posted February 7, 2006 i'm trying to prove that a funtion f(being f injective, and it's inverse are symmetric to the line y=x i can prove that the any segment defined by the points (fx,x) (x,fx) is perpendicular to that line, which also contains the midpoint of the segment. SO the line is the perpendicular bisector to any segment (fx,x)(x,fx) however i realy don't know where to go next? is this enough?whats is the definition of symmetry axe? Link to comment Share on other sites More sharing options...
EvoN1020v Posted February 8, 2006 Share Posted February 8, 2006 Are you talking about the axis of symmetry? If so, it's the line middle of a parabola. e.g. [math]x^{2}-4x+2[/math] Axis of symmetry is [math]x=2[/math]. Link to comment Share on other sites More sharing options...
J.branco Posted February 8, 2006 Author Share Posted February 8, 2006 ok, but my refering to the axis of symmetry of a fuction and its inverse. Link to comment Share on other sites More sharing options...
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