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Functions f,g from R to R.

f(x) = xcosx, g(x) = cosx

for x = 0, we get f(x) = 0, g(x) = 1.

so for scalar t in R

t(f(x)) + 0 * g(x) = 0 . ==> f(x) and g(x) are linearly idepenent.

Is that right? if so in functions we search for an x that makes the function dependent?

f(x) = xcosx, g(x) = cosx

for x = 0, we get f(x) = 0, g(x) = 1.

so for scalar t in R

t(f(x)) + 0 * g(x) = 0 . ==> f(x) and g(x) are linearly idepenent.

Is that right? if so in functions we search for an x that makes the function dependent?

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