How do you find the domain and range of $g(x)=6/(3-5x)$ ?

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Answer 1 · 2017-01-17T11:29:51

The domain is $D_g(x)=RR-{3/5}$
The range is $R_g(x)=RR-{0}$

$g(x)=6/(3-5x)$

As we cannot divide by $0,$ , $x!=3/5$

The domain of $g(x)$ is $D_g(x)=RR-{3/5}$

$lim_(x->-oo)g(x)=lim_(x->-oo)6/(-5x)=0^+$

$lim_(x->+oo)g(x)=lim_(x->+oo)6/(-5x)=0^-$

The range of $f(x)$ is $R_g(x)=RR-{0}$

How do you find the domain and range of g(x)=6/(3-5x)g(x)=6/(3-5x)?