- Thread starter
- #1

#### jakncoke

##### Active member

- Jan 11, 2013

- 68

1) $S_1 = e^{x} - 1, S_2 = ln(x + 1)$ are in S

2)if f(x), g(x) $\in S$, then f(x)+g(x), f(g(x)) are also in S

3)if f(x), g(x) $\in S$, and f(x) $\geq$ g(x) for $x \geq 0$, then f(x) - g(x) is in S

Prove that if f(x), g(x) $\in S$, then f(x)g(x) $\in S$.