document.write( "Question 1080616: https://www.usatestprep.com/modules/gallery/files/91/9101/9101.png\r
\n" );
document.write( "\n" );
document.write( "If the graph is that of f(x), name a point that lies on f-1 (x).
\n" );
document.write( "A) (3, 1)
\n" );
document.write( "B) (2, -2)
\n" );
document.write( "C) (1, -3)
\n" );
document.write( "D) (-3, 1) \n" );
document.write( "
Algebra.Com's Answer #694732 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Problem:\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\n" ); document.write( "If the graph is that of f(x), name a point that lies on f-1 (x). \n" ); document.write( "A) (3, 1) \n" ); document.write( "B) (2, -2) \n" ); document.write( "C) (1, -3) \n" ); document.write( "D) (-3, 1)\r \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: Choice D) (-3,1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reasoning: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The point (1,-3) lies on the parabola given in the original problem. This point is of the form (x,y) where x = 1 and y = -3. When it comes to the inverse, everything gets swapped. The x's become y's and vice versa. So (x,y) = (1,-3) becomes (y,x) = (-3,1) which is what choice D says. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Side Note: If you did this swapping with EVERY point on the parabola, then things will reflect over the line y = x to have the parabola open sideways to the right. \n" ); document.write( " |