[tex]f(x) = 5x {}^{3} - 2x \\ g(x) = 3x {}^{3} [/tex]
4)
[tex] \frac{f(x)}{g(x)} = \frac{5x {}^{3} - 2x }{3x {}^{3} } = \frac{x(5x {}^{2} - 2)}{3x {}^{3} } = \frac{5x {}^{2} - 2}{3x^2} [/tex]
5)
[tex]f(g(x)) = 5( 3x {}^{3} ) {}^{3 } - 2(3x {}^{3} ) \\ f(g(x)) = 135x {}^{9} - 6x {}^{3} [/tex]
6)
[tex]g(f(x)) = 3(5x {}^{3} - 2x) {}^{3} \\ g(f(x)) = 3(125x {}^{9} - 150x {}^{7} + 60x {}^{5} - 8x {}^{3} ) \\ g(f(x) )= 375x {}^{9} - 450x {}^{7} + 180x {}^{5} - 24x {}^{3} [/tex]
