document.write( "Question 66868This question is from textbook Advanced mathematics
\n" ); document.write( ": Determine if f(x) = x^3 and g(x) = the cubed root of x, are inverse functions by computing their compositions. \n" ); document.write( "
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Determine if f(x) = x^3 and g(x) = the cubed root of x, are inverse functions by computing their compositions.
\n" ); document.write( "LET F(X)=Y=X^3
\n" ); document.write( "X=CUBE ROOT OF (Y)
\n" ); document.write( "HENCE F INVERSE (X)= CUBE ROOT OF(X)=G(X)
\n" ); document.write( "SIMILARLY IF G(X)=Z=CUBE ROOT OF (X)
\n" ); document.write( "X=Z^3
\n" ); document.write( "HENCE G INVERSE (X) = X^3=F(X)\r
\n" ); document.write( "\n" ); document.write( "HENCE F(X) AND G(X) ARE INVERSE OF EACH OTHER
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