I am stuck trying to find the inverse of f(x)=x+6/x, can someone help?
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Originally Posted by sydewayzlocc I am stuck trying to find the inverse of f(x)=x+6/x, can someone help? $\displaystyle f(x) = \frac{x+6}{x}$ or $\displaystyle x + \frac{6}{x}$ ? please use parentheses to make your posts clear.
i apologize it was (x+6)/(x)
To find the inverse of a function, substitute y for every x, then x for y's. So your function would then look like: x = (y+6)/y. Now just solve for y, and you have your inverse function.
Originally Posted by sydewayzlocc ... it was (x+6)/(x) $\displaystyle y = \frac{x+6}{x}$ swap variables ... $\displaystyle x = \frac{y+6}{y}$ solve for $\displaystyle y$ ... $\displaystyle xy = y+6$ $\displaystyle xy - y = 6$ $\displaystyle y(x-1) = 6$ $\displaystyle y = \frac{6}{x-1}$
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