document.write( "Question 1151530: If the point P given bellow is on the graph of a function f, find the corresponding point on the graph of g.
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document.write( "P=(5,-1),g(x)=f(-3x+2) \n" );
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Algebra.Com's Answer #773302 by ikleyn(52909) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "You are given\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " f(5) = -1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the exact meaning of this fragment from the post \"the point P = (5,-1) is on the graph of a function f\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Take -3x+2 = 5, i.e. 3x = 2-5 = -3, or x = -1.\r\n" ); document.write( "\r\n" ); document.write( "Then \r\n" ); document.write( "\r\n" ); document.write( " g(-1) = f(-3x+2) = f(3+2) = f(5) = (at this point recall that f(5) = -1, so you can continue the equality) = -1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus the corresponding point on the graph of the function g is Q = (-1,-1).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The corresponding point on the graph of the function g is Q = (-1,-1).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is THIS :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The \"corresponding point\" in this context is the point, whose coordinates you can calculate, \r\n" ); document.write( " starting from the given point P and using the given definition of the function g.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |