Question

maths HL

Find the range of
1. 1/(1+ e^x)
2. 1/(e^x^2 + 3)

Answer 1

Hint:
The ranges of \(e^x\) and \( e^{x^2} \) are both \((0,\infty) \).
Substitute the limits in the above expressions to get the range of the expressions.

Answer 2

Correction: the range of \(e^{x^2} \) is \( [1,\infty) \).