document.write( "Question 881759: Find the inverse of the function f(x)=3x^3+8/4x^3 \n" ); document.write( "
Algebra.Com's Answer #532462 by stanbon(75887) ![]() You can put this solution on YOUR website! Find the inverse of the function f(x)=3x^3+8/4x^3 \n" ); document.write( "----- \n" ); document.write( "y = (3x^3+8)/(4x^3) \n" ); document.write( "------ \n" ); document.write( "y = (3/4) + (2/x^3) \n" ); document.write( "------- \n" ); document.write( "To get the inverse: \n" ); document.write( "1st: interchange x and y to get: \n" ); document.write( "x = (3/4) + (2/y^3) \n" ); document.write( "----- \n" ); document.write( "2nd: Solve for \"y\": \n" ); document.write( "2/y^3 = [x - (3/4)] \n" ); document.write( "----- \n" ); document.write( "y^3 = 2/[x-(3/4)] \n" ); document.write( "----- \n" ); document.write( "y = cbrt[2/(x-(3/4)) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |