document.write( "Question 829446: For the function f(x)=(3-4x)^2, find f^-1. Determine whether f^1 is a function. \n" ); document.write( "

Algebra.Com's Answer #499849 by Fombitz(32388) $\"\"$ $\"About$

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Use x,y notation.
\n" ); document.write( " $\"y=%283-4x%29%5E2\"$
\n" ); document.write( "Now interchange x and y and solve for y.
\n" ); document.write( " $\"x=%283-y%29%5E2\"$
\n" ); document.write( "Take the square root of both sides:
\n" ); document.write( " $\"sqrt%28x%29=3-y\"$ and $\"-sqrt%28x%29=3-y\"$
\n" ); document.write( " $\"y=3+%2B+sqrt%28x%29\"$ and $\"y=3-sqrt%28x%29\"$
\n" ); document.write( "This \"new\" y is the inverse of the original function.
\n" ); document.write( "

\n" ); document.write( "The inverse is not a function since it does not provide one y value for each x value, it provides 2. \n" ); document.write( "

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