5.5 - 5.6 Flashcard Review - Alg 2

f(g(5)) = f(5 - 2) = f(3) = 3(3) + 10 = 19.

(g(x) / f(x)) = (x - 2) / (x + 3).

f(x) + g(x) = (9 - 3x) + (5x - 7) = 2x + 2.

f(x) - g(x) = (x^2 + 9) - (x - 9) = x^2 - x + 18.

g(f(x)) = g(-3x + 7) = 2(-3x + 7)^2 - 8 = 18x^2 - 84x + 90.

The composition of functions f and g, denoted as f(g(x)), is the application of g first, followed by f.

A function is a relation that assigns exactly one output for each input. Example: f(x) = 2x + 3.

The difference f(x) - g(x) is the result of subtracting the output of g from the output of f.

Two functions f and g are equal if f(x) = g(x) for all x in their domain.

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