Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 3x \\ \\ g(x) = x - 2 \\ \\ \therefore \: (f + g)(x) = f(x) + g(x) \\ = 2 {x}^{2} + 3x + x - 2 \\ \therefore \: (f + g)(x) = 2 {x}^{2} + 4x - 2 \\ \\ \therefore \: (f + g)(2) = 2 \times {2}^{2} + 4 \times 2 - 2 \\ = 8 + 8 - 2 \\ \huge \red{ \boxed{\therefore \: (f + g)(2)= 14 }}\\ [/tex]
Hence, option B 14 is the correct answer.
