document.write( "Question 833070: I need help finding the inverse of x+1/2x+1. \n" ); document.write( "

Algebra.Com's Answer #502285 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Do you mean, $\"%28x%2B1%29%2F%282x%2B1%29\"$ ?
\n" ); document.write( "What kind of inverse? Additive? Multiplicative? Something else? \r
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\n" ); document.write( "\n" ); document.write( "According to the category you assigned with your question, either you want $\"-%28x%2B1%29%2F%282x%2B1%29\"$ or you want $\"%282x%2B1%29%2F%28x%2B1%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Imagining that you want the inverse function for $\"y=%28x%2B1%29%2F%282x%2B1%29\"$ ;
\n" ); document.write( "you can try switching the purposes of x and y, their positions in the equation, and solve for y.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=%28y%2B1%29%2F%282y%2B1%29\"$
\n" ); document.write( " $\"x%282y%2B1%29=y%2B1\"$
\n" ); document.write( " $\"2xy%2Bx=y%2B1\"$
\n" ); document.write( " $\"2xy-y=-x%2B1\"$
\n" ); document.write( " $\"%282x-1%29y=-x%2B1\"$
\n" ); document.write( " $\"y=%28-x%2B1%29%2F%282x-1%29\"$ -------the inverse\r
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\n" ); document.write( "\n" ); document.write( "That is not the correct way to handle the notation for finding function inverse, but the method IS very practical. Better use of notation is to give a function name to your original function, such as f(x), and then call the inverse as f^-1(x). You also use these notations in the algebraic steps performed. \n" ); document.write( "

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