Consider the following functions.

$f_1(x)=x,f_2(x)=x^2,f_3(x)=4x-2x^2$

$g(x)=c_1{f}_1(x)+c_2{f}_2(x)+c_3{f}_3(x)$

Solve for $c_1,c_2,$ and $c_{3}so$ that $g(x)=0-,\{0,0,0\}.\{c_1,c_2,c_3\}=\{,\}$

Determine whether $f_1,f_2,f_3-,$