![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
\n" ); document.write( "You have received two responses from tutors so far that both use the same method for finding the inverse of a function: switch the x and y and solve for the new y.
\n" ); document.write( "That is a standard method which you should know and understand.
\n" ); document.write( "For many relatively simple functions like this one, the inverse can be found more easily, without algebra, using the notion that an inverse function \"un-does\" what the function does.
\n" ); document.write( "In this example, the operations performed on the input by the given function are
\n" ); document.write( "(1) raise it to the 3rd power;
\n" ); document.write( "(2) multiply by 2; and
\n" ); document.write( "(3) add 1
\n" ); document.write( "The inverse function must undo those operations by performing the opposite operations in the opposite order:
\n" ); document.write( "(1) subtract 1:
\n" ); document.write( "(2) divide by 2:
\n" ); document.write( "(3) take the cube root:
\n" ); document.write( "If you compare that informal method for finding the inverse to the formal mathematical method shown by the other tutors, you will see that EXACTLY the same work is being done; however, the path to the solution is easier and faster without the need for the formal algebra.
\n" ); document.write( " \n" ); document.write( "