05.10.2019: Function Notation and Operations, 2/4: Sum and Difference of Functions

Today's soundtrack is Lacuna Coil: Karmacode, a metal album featuring Cristina Scabbia's gorgeous singing. I still remember discovering this band and thinking, "THIS is what Evanescence was going for, but couldn't quite reach!" When we combine two or more functions, we get a new function! Let's say we want to add f(x) =3x-1 to g(x)=x+2. So we are looking for (f + g)(x), the sum of f and g of x. Since 3x + x = 4x, and -1+2=1, f+g(x)=4x+1, but since combining two or more functi

11.16.2018: One Lesson of Math - Quadratic Formula Homework, Part 3

Today's soundtrack is Evanescence: The Open Door. This evening, I'm continuing to work on my assignment from the Quadratic Formula lesson. The first two parts of my homework can be found here and here. It was a lot of work, but I've finally finished this section. One problem that I ran into was on a question asking me to convert radicals to a quadratic equation before solving. I made a mistake in squaring, forgetting to isolate the radical before applying the square. Once I g