$\rhd$ Adding functions (2:32) For $f(x)=9-x^2$ and $g(x) = 5x^2+2x+1$, Sal finds $(f+g)(x).$
$\rhd$ Subtracting functions (2:16) For $f(x)=2x\sqrt 5-4$ and $g(x) = x^2+2x\sqrt 5-1$, Sal finds $(f-g)(x).$
$\rhd$ Multiplying functions (2:59) For $f(x)=7x-5$ and $g(x) = x^3+4x$, Sal finds $(fg)(x)$.
$\rhd$ Dividing functions (6:17) For $f(x)=2x^2+15x-8$ and $g(x) = x^2+10x+16$, Sal finds $\left(\dfrac{f}{g}\right)(x)$.
$\rhd$ Intro to composing functions (6:14) Three functions are given: $f(x)=x^2-1$, $g(x)$ given by a table, and $h(x)$ whose graph is provided. Sal finds $f(g(2))$, $f(h(2))$, and $h(g(f(2)))$.
* Practice: Type of problem: For $g(x) =\dfrac{3x-5}{x+1}$ and $h(y) = \sqrt{1-3y}$, evaluate $h(g(0))$.
