Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

A composite function is formed when one function is applied to the result of another function. It is denoted as (f∘g)(x) = f(g(x)).

To find the range of a function, determine all possible output values (y-values) that the function can produce based on its domain.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

f(2) = 2(2) + 3 = 7.

g(f(2)) = g(2^2) = g(4) = 4 + 1 = 5.

f(g(x)) means to first apply the function g to x, and then apply the function f to the result of g(x).

f(0) = 3(0) - 5 = -5.

f(g(1)) = f(2(1) + 1) = f(3) = 3^2 = 9.

To evaluate (f∘g)(x), substitute g(x) into f. This means you replace x in f with g(x).