Question

How do I find the domain and range for f(x) = (1/2)e^x , when f(x)=0?

Answer 1

you can take \(e\) to any power you like, so the domain would be all real numbers

Answer 2

So is the range also all real numbers because of that?

Answer 3

Wait i forgot to mention the question is "find the domain and range of the following, when f(x)=0"

Answer 4

that question makes no sense

Answer 5

the range is not all real numbers
although \(x\) can be any number, \(e^x>0\) no matter what
so the range is \((0,\infty)\)

Answer 6

Okay to be clear "find the domain and range for the following. Find when f(x)=0" then it gives me f(x)=(1/2)e^x

Answer 7

ok so that is two different questions
well actually 3
1) domain
2) range
3) solve \(\frac{1}{2}e^x=0\)

Answer 8

1) domain is all real numbers, because you can raise \(e\) to any power you like
2) range is \((0,\infty)\) since \(e^x>0\) for all \(x\)
3) no solution for the reason given in answer 2

Answer 9

okay thanks for the help