How would one calculate the range of $f(x) = \frac{1}{x-1}$, with $x > 3$?
And how would you generally calculate the range of any asymptotic graph in the form $1/x$?
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$$\infty>x>3\iff \infty>x-1>2$$
As $x-1>0,$ $$0=\frac1{\infty}<\frac 1{x-1}<\frac12$$
lab bhattacharjee
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how would you use this info to find range? – Yusuf May 12 '14 at 15:09
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What more info do you need? the range is between 1/2 and 0 – mjsqu May 12 '14 at 15:13
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@user149550, this $(0,\frac12)$ is the range – lab bhattacharjee May 12 '14 at 15:13
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@ lab bhattacharjee the answer in my book is 0 <f(x) < 1/4 im not quite sure how they got that – Yusuf May 12 '14 at 15:17