# Find Linearization L(x) pf f(x) at x=a?

f(x) = x + 1/x at a =1

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i need to know how to work a problem not just answer

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- mecdubLv 71 decade agoFavorite Answer
L(x) = f(a) + f'(a)(x - a)

f(x) = (x + 1)/x

f(a) = f(1) = 2

f'(x) = [x - (x + 1)]/x² = -1/x²

f'(a) = f'(1) = -1

L(x) = 2 - (x - 1) = 2 - x + 1

L(x) = 3 - x

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