a: f(2)=2*2^2-3*2+4=8-6+4=2+4=6
b: h(x)=-2x^2+x-1+f(x)
=-2x^2+x-1+2x^2-3x+4
=-2x+3
\(a,\) \(f\left(2\right)=2.2^2-3.2+4\) \(\Rightarrow f\left(2\right)=6\)
\(b,h\left(x\right)-f\left(x\right)=-2x^2+x-1\)
\(\Rightarrow h\left(x\right)=-2x^2+x-1+f\left(x\right)\)
\(\Rightarrow h\left(x\right)=-2x^2+x-1+2x^2-3x+4\)
\(\Rightarrow h\left(x\right)=-2x+3\)