Question

Find a value of c which satisfies the conclusion of the Mean Value Theorem for f(x)=(x)/(x-1) on the interval [-2,0].

The answer I keep getting is c=sqrt(3)+1 but according to the answer it is c=-sqrt(3)+1 however I am rigorously checking my algebra and do not see how it could possibly have the negative sign. Is my answer wrong?

Answer 1

I got \(c=\sqrt{3}+1\) too!

Answer 2

This is a little late, but the reasoning why the correct answer is negative is because of the square root sign means that your number could have been positive or negative to become a positive square number. Since the positive number doesn't fall within the interval [-2,0] we know that the answer is \[-\sqrt{3}+1\]

Answer 3

lol kainui more like noobui