Asked by lisa

At what does the curve f(x)=x/x-2 have a tangent with a slope of -1/2 ?

Answers

Answered by oobleck
f'(x) = -2/(x-2)^2
so, we need
-2/(x-2)^2 = -2
x = 1 or 3
Answered by lisa
Would you be able to determine the point?
Answered by oobleck
well, duh.
f(1) = 1/(1-2) = -1
so the point is (1,-1)

do f(3) in like wise.
Answered by lisa
Thanks for the help!!
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