Find the inverse equations of the following:

1. $\displaystyle f(x) = 3x + ln(x)$

2. $\displaystyle g(x) = \frac{x+1}{2x+1}$

So the equations become...

1. $\displaystyle x = 3y + ln(y)$

2. $\displaystyle x = \frac{y + 1}{2y + 1}$

Sovle for $\displaystyle y$.

I've played with the algebra a few different ways, especially on the rational function, but I still can't solve for 'y' in either equation! I've also graphed both functions, and they both appear to have an inverse (geometrically anyway).

Step-by-step algebra would be helpful - thanks!