document.write( "Question 518618: f(x)=3 Sqrt 3x-4
\n" ); document.write( "inverse function is f^-1(x)=
\n" ); document.write( "Domain of f
\n" ); document.write( "Range of f
\n" ); document.write( "Domain of f^-1
\n" ); document.write( "Range of f^-1 \n" ); document.write( "
Algebra.Com's Answer #345286 by lwsshak3(11628)\"\" \"About 
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f(x)=3 Sqrt(3x-4)
\n" ); document.write( "inverse function is f^-1(x)=
\n" ); document.write( "Domain of f
\n" ); document.write( "Range of f
\n" ); document.write( "Domain of f^-1
\n" ); document.write( "Range of f^-1
\n" ); document.write( "**\r
\n" ); document.write( "\n" ); document.write( "y=3√(3x-4)
\n" ); document.write( "interchange x and y
\n" ); document.write( "x=3√(3y-4)
\n" ); document.write( "x/3=√(3y-4)
\n" ); document.write( "square both sides
\n" ); document.write( "x^2/9=3y-4
\n" ); document.write( "3y=x^2/9+4
\n" ); document.write( "y=x^2/27+4/3=(x^2+36)/27
\n" ); document.write( "f^-1(x)=(x^2+36)/27
\n" ); document.write( "..
\n" ); document.write( "Checking radican:
\n" ); document.write( "3x-4≥0
\n" ); document.write( "3x≥4
\n" ); document.write( "x≥4/3
\n" ); document.write( "Domain of f: [4/3,∞)
\n" ); document.write( "Range of f: [0,∞)
\n" ); document.write( "..
\n" ); document.write( "Domain of f^-1: (0,∞)
\n" ); document.write( "Range of f^-1: [4/3,∞) \n" ); document.write( "
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