document.write( "Question 906484: If f(x) = (x-7)/x, find f^-1(x).
\n" ); document.write( "So basically, I need help finding the inverse of this function.
\n" ); document.write( "I know the basic rules and the main four steps to find an inverse of a function, but I keep getting stuck on this problem. I would like to see each step for solving this problem, thanks!
\n" ); document.write( "Please help, and thanks again in advanced!
\n" ); document.write( "(This is the first time I've used this website.)
\n" ); document.write( "

Algebra.Com's Answer #549902 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
The given funcgtion, \"f%28x%29+=+%28x-7%29%2Fx\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let g(x) be the inverse of f(x). This means \"g%28f%28x%29%29=f%28g%28x%29%29=x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Without staying with the fancy formal method, just switch f and x, but call the FUNCTION you
\n" ); document.write( "are looking for, as g.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28g-7%29%2Fg=x\"
\n" ); document.write( "\"g-7=g%2Ax\"
\n" ); document.write( "\"-7=g%2Ax-g\"
\n" ); document.write( "\"g%2Ax-g=-7\"
\n" ); document.write( "\"g%28x-1%29=-7\"
\n" ); document.write( "\"g=-7%2F%28x-1%29\"
\n" ); document.write( "More formally although some of the formality was not used that way,
\n" ); document.write( "\"highlight%28f%5E-1%28x%29=-7%2F%28x-1%29%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );