Logs and Inverses

4 Major Concepts learned:
1. Inverses are symmetrical about the the y=x line. -The input and outputs are switched and then the inverses are shown.
2.One to One functions- Is when both f(x) and f^-1(x) are functions, when the are both functions they pass the vertical line test. For every line, there is exactly one point that hits every part of it, not more than one.
3. I understood that "e" in logarithms and inverses equals to 2.71828 and that it is a base of a logarithm (loge).
4. When an equation that includes a loge but has no base, it is always a log with a base of 10, this enables the log to be canceled and used with other like logarithms. (log10)

What I did not understand:
1. I did not understand how to graph any graph that has a complex, well at least for me, form like f(x)=3x=1/x+1, or any thing that has any part under it. Any help???