How do you find the range for $y = 1 / (x+5)$ ?

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Answer 1 · 2015-04-22T20:37:29

$y=1/(x+5)$

Could be written as $y(x+5)=1$

$=>yx+5y=1$

$=>yx=1-5y$

$=>x=(1-5y)/y$

Now, see that the expression on the write can take all values of $y$ except $y=0$

Conclusion: our range is $(-oo,0) uu (0, +oo)$

OR simply written as $RR -{0}$

How do you find the range for y = 1 / (x+5)y = 1 / (x+5)?