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

1 Answer

Dec 31, 2017

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

Explanation:

#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)#

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