High schooler-created and high schooler-oriented organization, Future, hosts online Zoom meetings wherein volunteers such as myself walkthrough SAT problems and discuss testing strategies with high schoolers.
If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.
For the following exercises, determine the domain for each function in interval notation.Given $f(x)=x^{2}+2 x$ and $g(x)=6-x^{2},$ find $f+g$ $f-g, f g,$ and $\frac{f}{g}$
For the following exercises, determine the domain for each function in interval notation.Given $f(x)=2 x^{2}+4 x$ and $g(x)=\frac{1}{2 x},$ find $f+g$ $f-g, f g$ , and $\frac{f}{g}$
For the following exercise, find the indicated function given $f(x)=2 x^{2}+1$ and $g(x)=3 x-5$a.f $f(g(2)) \quad$ b. $f(g(x)) \quad$ c. $g(f(x)) \quad$ d. $(g \circ g)(x) \quad$ e. $\left(f_{0} f\right)(-2)$
Given $f(x)=\sqrt{2-4 x}$ and $g(x)=-\frac{3}{x},$ find the following:a. $(g \circ f)(x)$b. the domain of $(g \circ f)(x)$ in interval notation
Given functions $p(x)=\frac{1}{\sqrt{x}}$ and $m(x)=x^{2}-4$ state the domain of each of the following functions using interval notation:a. $\frac{p(x)}{m(x)}$b. $p(m(x))$c. $m(p(x))$