What is the Domain for: h(x)=ln(x+1)?

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Answer 1 · 2017-04-11T11:42:34

#(-1, +oo)#

#h(x) = ln(x+1)#

#lnx# is defined #forall x>0#

Hence, #ln(x+1)# is defined #forall (x+1) > 0 -> x> -1#

#:.# the domain of #h(x)# is #(-1, +oo)#

This can be seen from the graph of #h(x)# below:

graph{ln(x+1) [-11.25, 11.245, -5.62, 5.63]}