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\n" ); document.write( "The method shown by the other tutor for finding the inverse of a function is one standard method.
\n" ); document.write( "For most relatively simple functions, you can also find the inverse informally by using the idea that an inverse function \"un-does\" what the function does.
\n" ); document.write( "To undo what the function does, the inverse function must perform the opposite operations in the opposite order.
\n" ); document.write( "The given function performs these operations on the input value:
\n" ); document.write( "(1) add 2;
\n" ); document.write( "(2) take the square root; and
\n" ); document.write( "(3) add 2
\n" ); document.write( "So the inverse function has to perform these operations:
\n" ); document.write( "(1) subtract 2;
\n" ); document.write( "(2) square the result; and
\n" ); document.write( "(3) subtract 2
\n" ); document.write( "ANSWER: f^(-1)(x) = (x-2)^2-2
\n" ); document.write( " \n" ); document.write( "