Consider the following functions. (x) = 2 + x, f,(x) = x, f;x) = x² g(x) = c,f,(x) + cof2(x) + czf3(x) Solve for c,, Ca, and c, so that g(x) = 0 on the interval (-, 0). 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,, fa f, are linearly independent on the interval (-, 0). linearly dependent linearly independent

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