The partial fraction decomposition of $\displaystyle \frac{{-{8}{x}+{14}}}{{{6}{x}^{{2}}+{5}{x}-{6}}}$ can be written in the form of $\displaystyle \frac{{{f{{\left({x}\right)}}}}}{{{2}{x}+{3}}}+\frac{{{g{{\left({x}\right)}}}}}{{{3}{x}-{2}}},$ where

$\displaystyle {f{{\left({x}\right)}}}=$ Preview Question 6 Part 1 of 2  
$\displaystyle {g{{\left({x}\right)}}}=$ Preview Question 6 Part 2 of 2