document.write( "Question 1118903: Each of the functions below is one-to-one. Find the inverse function for each of them.
\n" ); document.write( "(i) f(x) = 4x + 2
\n" ); document.write( "(ii) f(x) = 3x
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #734349 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The formal algebraic process for finding the inverse of a function shown by the other tutor is something that is useful to know.

\n" ); document.write( "However, for simple functions like these, it is also instructive to find the inverses by using the understanding that an inverse function \"un-does\" what the function does. So an inverse function performs the opposite operations and in the opposite order, compared to the original function.

\n" ); document.write( "For your first example....

\n" ); document.write( "f(x) = 4x+2

\n" ); document.write( "The function (1) multiplies the input by 4 and (2) adds 2.
\n" ); document.write( "The inverse function must (1) subtract 2 and (2) divide by 4:
\n" ); document.write( " $\"y+=+%28x-2%29%2F4\"$

\n" ); document.write( "The second example is even easier. The second function only multiplies the input by 3; the inverse function only has to divide its input by 3:
\n" ); document.write( " $\"y+=+x%2F3\"$ \n" ); document.write( "

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