How do you find the domain of $f+g$ given $f(x) = (7x)/(x+6)$ and $g(x)= 4/(x+1)$ ?

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Answer 1 · 2017-12-31T12:01:32

$D_(f+g)=D_fnnD_g=RR-{-1,-6)=$
$(-oo,-6)uu(-6,-1)uu(-1,+oo)$

$f(x)=(7x)/(x+6)$

$D_f={AA$ $x$ $inRR$ $:x+6!=0}$ $=RR-{-6}=(-oo,-6)uu(-6,+oo)$

$g(x)=4/(x+1)$

$D_g={AA$ $x$ $inRR$ $:x+1!=0}$ $=RR-{-1}=(-oo,-1)uu(-1,+oo)$

$D_(f+g)=D_fnnD_g=RR-{-1,-6)=$
$(-oo,-6)uu(-6,-1)uu(-1,+oo)$

How do you find the domain of f+gf+g given f(x) = (7x)/(x+6)f(x) = (7x)/(x+6) and g(x)= 4/(x+1)g(x)= 4/(x+1)?