Show directly that the given functions are fineart,(x) = 6x, 9(x) = 4x, h(x) = 5x - 6x2Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identicallyEnter the non-trivial linear combination(20)6x (-36) 4x (-24) (5x - 6x))
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To show that the functions \( f(x) = 6x \), \( g(x) = 4x \), and \( h(x) = 5x - 6x^2 \) are linearly dependent, we need to find constants \( a, b, c \), not all zero, such that: \[ a f(x) + b g(x) + c h(x) = 0 \] for all \( x \). Show more…
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