Adding & Subtracting Functions

Front

What is the sum of the functions f(x) = 9 - 3x and g(x) = 5x - 7?

Back

f(x) + g(x) = 2x + 2.

Front

What is the sum of the functions f(n) = 2n + 1 and g(n) = 3n?

Back

f(n) + g(n) = 5n + 1.

Front

What is the difference between the functions f(x) = x² + 9 and g(x) = x - 9?

Back

f(x) - g(x) = x² - x + 18.

Front

What is the sum of the functions f(n) = 2n + 1 and g(n) = 3n?

Back

f(n) + g(n) = 5n + 1.

Front

What is the difference between the functions f(n) = x² + 1 and g(n) = 2x - 5?

Back

f(n) - g(n) = x² - 2x + 6.

Front

Define function addition.

Back

Function addition is the process of adding two functions together to create a new function, defined as (f + g)(x) = f(x) + g(x).

Front

Define function subtraction.

Back

Function subtraction is the process of subtracting one function from another to create a new function, defined as (f - g)(x) = f(x) - g(x).

Front

What is the general form of adding two linear functions?

Back

If f(x) = ax + b and g(x) = cx + d, then f(x) + g(x) = (a + c)x + (b + d).

Front

What is the general form of subtracting two linear functions?

Back

If f(x) = ax + b and g(x) = cx + d, then f(x) - g(x) = (a - c)x + (b - d).

Front

How do you combine like terms when adding functions?

Back

Combine the coefficients of like terms to simplify the expression.