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If f(×) =
(1)/( √(x - 1) )

then find
(f(x) - f(2))/(x - 2)


1 Answer

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Answer:

(1 -x +√(x -1))/(x² -3x +2)

Explanation:

Fill in the given function definition and simplify.


(f(x)-f(2))/(x-2)=((1)/(√(x-1))-(1)/(√(2-1)))/(x-2)=(1-√(x-1))/((x-2)√(x-1))\\\\=(√(x-1)-x+1)/((x-2)(x-1))=\boxed{(√(x-1)-x+1)/(x^2-3x+2)}

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