document.write( "Question 65832: \n" ); document.write( "
Algebra.Com's Answer #46578 by FadelSalem(12)![]() ![]() You can put this solution on YOUR website! Hi, I have two Algebra 2 questions.\r \n" ); document.write( "\n" ); document.write( "The first one is, how do I sketch the graph of the function and its inverse on the same coordinate plane?\r \n" ); document.write( "\n" ); document.write( "f(x)= 2-4x\r \n" ); document.write( "\n" ); document.write( "The second question is, are f and g inverses of each other? f(x)=2/3x-1/2, g(x)=3/2x-3/4\r \n" ); document.write( "\n" ); document.write( "Thanks, \n" ); document.write( "Aaron\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use some values for x as: -2, 0 and 2 \n" ); document.write( "you'll get the coreesponding y: 10, 2 and -6 \n" ); document.write( "so you've three points: (-2, 10), (0, 2) and (2, -6) plot them on X-Y system \n" ); document.write( "you'll have a staright line\r \n" ); document.write( "\n" ); document.write( "....................................................... \n" ); document.write( "for the function: y = 2/3 x - 1/2 \n" ); document.write( "replace x and y , you'll get: x = 2/3 y - 1/2 [Multiply by 6] \n" ); document.write( "so, 6 x = 4 y - 3 --> 4y = 6x - 3 --> y = 3/2 x - 3/4 \n" ); document.write( "so, yes you're right each of g and f is inverse function for the other \n" ); document.write( " Happy New Year \n" ); document.write( "Fadel Salem \n" ); document.write( " |