Incorrect. Set up the subtraction:

$\displaystyle{g{{\left({x}\right)}}}-{f{{\left({x}\right)}}}={2}{{x}}^{{2}}-{7}{x}+{2}-{\left({2}{{x}}^{{2}}+{9}{x}+{2}\right)}\usepackage{cmbright}\Huge\$

Distribute the minus sign to all the terms of $\displaystyle{f{{\left({x}\right)}}}\usepackage{cmbright}\Huge\$ and then combine like terms. The correct answer is $\displaystyle-{16}{x}\usepackage{cmbright}\Huge\$ .