how do i find the inverse function of : $\displaystyle y = x + \frac{1}{x}$ this one is giving me trouble.
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Originally Posted by tsal15 how do i find the inverse function of : $\displaystyle y = x + \frac{1}{x}$ this one is giving me trouble. So you want to get x with respect to y. $\displaystyle xy=x^2+1$ $\displaystyle x^2-xy+1=0$ solve the quadratic
Originally Posted by Moo So you want to get x with respect to y. $\displaystyle xy=x^2+1$ $\displaystyle x^2-xy+1=0$ solve the quadratic So, using the quadratic equation, i got $\displaystyle y = \frac{x \pm \sqrt{x^2 -4}}{2}$ as the inverse function. Correct?
yes you are correct
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