What is the domain and range of $y = 3(x-2)/x$ ?

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Answer 1 · 2017-01-31T11:10:23

The domain is $RR-{0}$
The range is $RR-{3}$

As you cannot divide by $0$ , $=>$ , $x!=0$

The domain of $y$ is $RR-{0}$

To find the range, we need to calculate $y^-1$

The domain of $y^-1$ is the range

$y=3(x-2)/x$

$yx=3x-6$

$3x-yx=6$

$x(3-y)=6$

$x=6/(3-y)$

Therefore,

$y^-1=6/(3-x)$

As you cannot divide by $0$ , $=>$ , $x!=3$

The range is $RR-{3}$

graph{(y-(3x-6)/x)(y-3)(y-100x)=0 [-25.65, 25.65, -12.83, 12.82]}

What is the domain and range of y = 3(x-2)/x y = 3(x-2)/x?