document.write( "Question 531316: h(x)=(6x+1)/(-7-x), find h^-1
\n" ); document.write( "find domain
\n" ); document.write( "find range
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Algebra.Com's Answer #350410 by stanbon(75887)\"\" \"About 
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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
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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