document.write( "Question 27985: Find the domain of y=x+3if the range is {-1,1,3,5}
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document.write( "I don't get this \n" );
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Algebra.Com's Answer #15273 by sdmmadam@yahoo.com(530) ![]() You can put this solution on YOUR website! Find the domain of y=x+3if the range is {-1,1,3,5} \n" ); document.write( "I don't get this \n" ); document.write( "The range set that is the set of images is {-1,1,3,5} \n" ); document.write( "The correspondence is y = x+3 (which is clearly a 1-1 function that is every image y is having a single preimage x) \n" ); document.write( "so x here is from (x+3) = y \n" ); document.write( "x = y-3 ---(*) \n" ); document.write( "If y = -1 then x = (-1)-3 = -4 \n" ); document.write( "Verification: What gets mapped onto (-1) under y = x+3 gives us (-4)as answer and of course (-4) = 3 = -1 \n" ); document.write( "Thus if y=-1, then x is -4 \n" ); document.write( "Similarly y=1 in (*) gives x = -2 \n" ); document.write( "y=3 in (*) gives x = 0 \n" ); document.write( "y=5 in (*) gives x = 2 \n" ); document.write( "Thus the set that gets mapped onto {-1,1,3,5} \n" ); document.write( " under y = f(x) = x+3 is given by \n" ); document.write( "{-4,-2,0,2}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |