Function Operations and Composition of Functions

Front

Define function operations.

Back

Function operations involve combining two or more functions using addition, subtraction, multiplication, or division.

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).

Front

If f(n) = 2n + 1 and g(n) = 3n, what is f(n) + g(n)?

Back

5n + 1

Front

Calculate f(4) + f(-2) if f(x) = 3x^2 - 2x + 1.

Back

58

Front

If f(x) = x^2 - 5 and g(x) = 2x - 3, find (g ∘ f)(2).

Back

-5

Front

What is the result of f(x) - g(x) if f(x) = x^2 + 9 and g(x) = x - 9?

Back

x^2 - x + 18

Front

Find (f + g)(-2) if f(x) = x^2 + 3x + 2 and g(x) = -3x + 1.

Back

7

Front

What is the formula for the sum of two functions?

Back

(f + g)(x) = f(x) + g(x).

Front

What is the formula for the difference of two functions?

Back

(f - g)(x) = f(x) - g(x).

Front

What is the formula for the product of two functions?

Back

(f * g)(x) = f(x) * g(x).