Consider the following functions. f,(x) = 2 + x, f,(x) = x, f(x) = x² g(x) = c,f;(x) + czf2(x) + czf3(x) Solve for c,, c,, and c, so that g(x) = 0 on the interval (-o, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c,, C2, C3} = {| Determine whether f,, f,, f, are linearly independent on the interval (-o, co). O linearly dependent O linearly independent

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