What is the range of the function $f(x) = 4 /(x -3)$ ?

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Answer 1 · 2016-10-04T02:21:51

The domain is $D_f=R-{3}$ and the range is

$y=f(x)=4/(x-3)$

$x-3=4/y$

$x=3+4/y$ (For this to have a meaning $y!=0$ )

Hence the range is $R_f=R-{0}$

What is the range of the function f(x) = 4 /(x -3)f(x) = 4 /(x -3)?