B.O.B. "Muddiest Point" - Clarity

Dear Blogger Family,

There have been multiple times in PreCalc Functions where I have felt a little (lot) lost.  Often times I find myself running to my sisters for help.  Both of them have already graduated from college so this math is elementary for them.  However, I found that usually I would understand concepts better if I just sat back, took a minute and thought through the problems.  Now like I said, this was a reoccurring ritual that would happen almost every night.  My sisters would get fed up with my constant questioning on how to carry out certain mathematical operations, especially when I would barge into their rooms past midnight and disrupt their tranquil slumber.  Although their help was useful, I found that I would retain the information better if I really took time and solved the quagmire.  With that being said my “muddiest point” would have to be performing the composition of functions.  I did not struggle with all of the problems but there were definitely a few scenarios that ‘stumped the chump’ (me).  For example, when solving for an f(g(x)) and realizing that there was a square root under a square root in the denominator. Ahhh!  These problems became tough when considering that the domain had to be zero or greater in the inner square root and zero or greater in the outer square root and all not equal to zero in the denominator.  The complexity of these problems was somewhat overwhelming at times, especially at 1:30 in the morning (every day).  However, with help from my sisters and at times just sitting back and thinking about what I was really doing, I was able to push through this unit and cross the finish line with moderate success.

Sweet Dreams,

            Greg