document.write( "Question 531316: h(x)=(6x+1)/(-7-x), find h^-1
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document.write( "find domain
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document.write( "find range \n" );
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Algebra.Com's Answer #350410 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! h(x)=(6x+1)/(-7-x), \n" ); document.write( "find h^-1 \n" ); document.write( "Interchange x and y to get: \n" ); document.write( "x = (6y+1)/(-7-y) \n" ); document.write( "Solve for \"y\": \n" ); document.write( "-4x - yx = 6y+1 \n" ); document.write( "--- \n" ); document.write( "6y+1+yx = -4x \n" ); document.write( "y(6+x) = -(4x+1) \n" ); document.write( "y = -(4x+1)/(x + 6) \n" ); document.write( "f^-1(x) = -(4x+1)/(x+6) \n" ); document.write( "------- \n" ); document.write( "find domain \n" ); document.write( "Look for the vertical asymptotes: \n" ); document.write( "Of f(x): All Real Numbers except x = 7 \n" ); document.write( "of f(-1): All Real Numbers except x = -6 \n" ); document.write( "-------------------- \n" ); document.write( "find range \n" ); document.write( "Look for the horizontal asymptotes: \n" ); document.write( "of f(x):All Real Numbers except y = -6 \n" ); document.write( "of f^-1(x): All Real Numbers except -2/3 \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |