Consider the following functions. f₁(x) = x₁ f₂(x) = x², f3(x) = 7x - 3x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve for C

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Consider The Following Functions F X X F X X F3 X 7x 3x G X C F X C F X C3f3 X Solve For C 1 (35.64 KiB) Viewed 28 times

Consider the following functions. f₁(x) = x₁ f₂(x) = x², f3(x) = 7x - 3x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve for C₁, C₂ {C₁, C₂, C3} = and C3 so that g(x) = 0 on the interval (-∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) Determine whether f₁, f2, f3 are linearly independent on the interval (-∞, ∞). O linearly dependent O linearly independent