Simplify the expression and give your answer in the form of $\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.$ 

$\displaystyle {\frac{{{2}{x}^{{2}}+{9}{x}+{4}}}{{{x}^{{2}}+{2}{x}-{3}}}}\div{\frac{{{x}^{{2}}+{6}{x}+{8}}}{{{2}{x}^{{2}}-{3}{x}+{1}}}}$

Your answer for the function $\displaystyle {f{{\left({x}\right)}}}$ is : Preview Question 6 Part 1 of 2  
Your answer for the function $\displaystyle {g{{\left({x}\right)}}}$ is : Preview Question 6 Part 2 of 2