What is the domain and range of $f(x) = 1/(2x+4)$ ?

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Answer 1 · 2017-01-28T10:07:03

The domain is $x in RR- {-2}$
The range is $f(x) in RR-{0}$

As we cannot divide by $0$ , $x!=-2$

The domain of $f(x)$ is $D_f(x)=RR-{-2}$

$lim_(x->-oo)f(x)=lim_(x->-oo)1/(2x)=0^-$

$lim_(x->+oo)f(x)=lim_(x->+oo)1/(2x)=0^+$

Therefore,

$f(x)!=0$

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

What is the domain and range of f(x) = 1/(2x+4)f(x) = 1/(2x+4)?