Question

how do you get the domain of:
f(x)=arcsin(e^x)

Answer 1

-1 <= e^x <= 1

Answer 2

I got to that part...but what then...ln(-1) doesn't exist. what do you do about that left side

Answer 3

I dunno, seems like it should be -infinity though since e^x > 0 for all real numbers

Answer 4

yea thats the answer (-infinity,0] since ln(1)=0. I suppose we just look at e^x and realise that it is >0 for all reals.. Thanks!!