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You can put this solution on YOUR website!
\n" ); document.write( "I will assume this question came from the same person whose similar question I just answered....
\n" ); document.write( "Again, \"(f*g)(x)\" is simply f(x)*g(x); \"(g*f)(x)\" is simply g(x)*f(x). So the answers to the two questions would be the same.
\n" ); document.write( "So again I assume you mean f(g(x)) and g(f(x)).
\n" ); document.write( "a) f(g(x)) can only exist for input values for which g(x) is defined: 2, 3, and 4.
\n" ); document.write( "f(g(2)) = f(3) = 4 --> (2,4)
\n" ); document.write( "f(g(3)) = f(2) = 3 --> (3,3)
\n" ); document.write( "f(g(4)) = f(8) but f(8) is not defined
\n" ); document.write( "So f(g(x)) = {(2,4), (3,3)}
\n" ); document.write( "b) g(f(x)) can only exist for input values for which f(x) is defined: 1, 2, and 3.
\n" ); document.write( "g(f(1)) = g(2) = 3 --> (1,3)
\n" ); document.write( "g(f(2)) = g(3) = 2 --> (2,2)
\n" ); document.write( "g(f(3)) = g(4) = 8 --> (3,8)
\n" ); document.write( "So g(f(x)) = {(1,3), (2,2), (3,8)} \n" ); document.write( "