Adding and Subtracting Functions

Front

Define the sum of two functions.

Back

The sum of two functions, f(x) and g(x), is defined as (f + g)(x) = f(x) + g(x).

Front

What is the difference of two functions?

Back

The difference of two functions, f(x) and g(x), is defined as (f - g)(x) = f(x) - g(x).

Front

Back

(f + g)(x) = (2x + 4) + (3x + 5) = 5x + 9.

Front

Back

(f - g)(x) = (-4x + 4) - (2x - 5) = -6x + 9.

Front

Back

f(x) - g(x) = (2x + 4) - (3x + 5) = -x - 1.

Front

Back

g(x) + h(x) = (x^2 - 1) + (3x - 4) = x^2 + 3x - 5.

Front

What is the formula for adding two functions?

Back

The formula for adding two functions is (f + g)(x) = f(x) + g(x).

Front

What is the formula for subtracting two functions?

Back

The formula for subtracting two functions is (f - g)(x) = f(x) - g(x).

Front

Back

h(x) + g(x) = (3x - 5) + (x^2 + 5) = x^2 + 3x.

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Back

g(x) + f(x) = (-4x + 4) + (x^2 + 2) = x^2 - 4x + 6.