document.write( "Question 1153262: Find the inverse of f(x)=3x-5/2 \n" ); document.write( "

Algebra.Com's Answer #775477 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Tutor @MathLover1 has shown finding the inverse by the traditional formal algebraic method -- switching the x and y and solving for the new y.

\n" ); document.write( "For many relatively simple functions, it is far easier to find the inverse using the idea that an inverse \"gets you back where you started from\".

\n" ); document.write( "To \"get you back where you started from\", an inverse function has to perform the opposite operations in the opposite order, compared to the original function.

\n" ); document.write( "In this example, the function does the following operations on the input:
\n" ); document.write( "(1) multiply by 3
\n" ); document.write( "(2) subtract 5/2

\n" ); document.write( "So the inverse function has to
\n" ); document.write( "(1) add 5/2
\n" ); document.write( "(2) divide by 3

\n" ); document.write( "So the inverse function is $\"%28x%2B5%2F2%29%2F3+=+%281%2F3%29x+%2B+5%2F6\"$

\n" ); document.write( "Much less work than the formal algebraic method....

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