Find-the-equation-of-the-asymptotes-to-the-curve-y-f-x-where-f-x-ln-x-3-x-1-

Question Number 145549 by physicstutes last updated on 05/Jul/21

Find the equation of the asymptotes to the curve

y = f (x) where f (x) = \ln (\frac{x + 3}{x - 1}) .

Answered by gsk2684 last updated on 06/Jul/21

function is defined only if

0 < \frac{x + 3}{x - 1} \Rightarrow 0 < (x + 3) (x - 1)

x < (- 3) or 1 < x

function has asymptotes at

x = - 3, 1 also function never be 0 .

x axis is also an asymptote .

Commented by gsk2684 last updated on 06/Jul/21

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