Thread: Finding Range

The domain of the following function is set for positive real number.
Find the range of the funciton.

f(x)= ln(1+e^x)

I would appreciate it if you showed the way.
Thank you!

The domain of each of the following functions is the set of values of x for which the algebraic expression has meaning. Find their ranges.

1) F(x)= 1/1+e^x

2)f(x)=e^√x

3) f(x)=e^-x2

4) f(x)= √sinx

Thank you in advance for your help!

Your formatting is ambiguous, so I hesitate to be specific.

Where are you stuck? You know that you can't have negatives inside square roots or logs, you can't have zero for a denominator or inside a log. How have you applied this information? How far have you gotten?

Please be complete. Thank you!