document.write( "Question 134223: Hi, Can you help me with this math problem? \r
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document.write( " If f is one-to-one find and equation for its universe.
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document.write( "f(x)=x^3-5 \n" );
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Algebra.Com's Answer #98159 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! If f is one-to-one find an equation for its inverse. \n" ); document.write( "f(x)= x^3 - 5.\r \n" ); document.write( "\n" ); document.write( "Why did you call this a rational function? Where is the fraction? \n" ); document.write( "You can only call a function rational if there is a fraction.\r \n" ); document.write( "\n" ); document.write( "We need to find the inverse of the given function.\r \n" ); document.write( "\n" ); document.write( "f(x) = x^3 - 5\r \n" ); document.write( "\n" ); document.write( "First, replace f(x) with y because y is the same as f(x). In other words, they are interchangeable math symbols.\r \n" ); document.write( "\n" ); document.write( "y = x^3 - 5\r \n" ); document.write( "\n" ); document.write( "Secondly, switch the x and y letters places.\r \n" ); document.write( "\n" ); document.write( "x = y^3 - 5\r \n" ); document.write( "\n" ); document.write( "Add 5 to x.\r \n" ); document.write( "\n" ); document.write( "x + 5 = y^3\r \n" ); document.write( "\n" ); document.write( "Take the CUBE ROOT of both sides.\r \n" ); document.write( "\n" ); document.write( "CUBEROOT{x + 5} = CUBEROOT{y^3}\r \n" ); document.write( "\n" ); document.write( "CUBEROOT{x + 5} = y\r \n" ); document.write( "\n" ); document.write( "Replace y with the inverse notation (the symbol), which is f^-1(x).\r \n" ); document.write( "\n" ); document.write( "f^-1(x) = CUBEROOT{x + 5} \n" ); document.write( " \n" ); document.write( " |