Composition of functions

1. $f(x) = 2x + 5$, $g(x) = x - 2$.
   1. What is $(f \circ g)(x)$?
   2. What is $(g \circ f)(x)$?
   3. What are the domain and range of the functions in a and b?

Functional notation and composition

More functions

1. What are the domain and range of the function $f(x) = \frac{\sqrt{x+3}}{x+2}$?
2. Give a function that has the same domain, but a different range from the function $g(x) = -\sqrt{x - 4}$
3. The function $t(r) = \frac{h\pi r^2}{R}$ models the time ...

Functional notation and composition

1. What values of $x$ are possible inputs to the function $f(x) = \sqrt{x + 2}$? What are the possible outputs of this function?
2. Give another function that has the same set of possible inputs, but a different set of possible outputs.
3. Give another function that has the same set of ...