document.write( "Question 164401: Given f(x)= √(x-4), determine f^-1(x) \n" ); document.write( "

Algebra.Com's Answer #121108 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "To find the inverse, first change to x,y notation.
\n" ); document.write( " $\"y=sqrt%28x-4%29\"$
\n" ); document.write( "Then interchange the positions of x and y and solve for y.
\n" ); document.write( " $\"highlight%28x%29=sqrt%28highlight%28y%29-4%29\"$
\n" ); document.write( " $\"x%5E2=y-4\"$
\n" ); document.write( " $\"y=x%5E2%2B4\"$
\n" ); document.write( "The solution for the new y is the inverse function.
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=x%5E2%2B4\"$ \n" ); document.write( "

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