Wie finden Sie die Domäne von #f + g #, die #f (x) = (7x) / (x + 6) # und #g (x) = 4 / (x + 1) # gegeben ist?

Antworten:

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

Erläuterung:

#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) #