Function Operations

Front

Define function operations.

Back

Function operations involve combining two or more functions using addition, subtraction, multiplication, or division to create a new function.

Front

What is the formula for adding two functions f(x) and g(x)?

Back

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

Front

What is the formula for subtracting two functions f(x) and g(x)?

Back

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

Front

What is the formula for multiplying two functions f(x) and g(x)?

Back

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

Front

What is the formula for dividing two functions f(x) and g(x)?

Back

(f / g)(x) = \frac{f(x)}{g(x)} , g(x) \neq 0

Front

Given f(x) = 2x + 3 and g(x) = x - 1, find (f + g)(x).

Back

(f + g)(x) = 3x + 2

Front

Given f(x) = x^2 and g(x) = 4, find (f - g)(x).

Back

(f - g)(x) = x^2 - 4

Front

Given f(x) = 3x and g(x) = 2x + 1, find (f * g)(x).

Back

(f * g)(x) = 6x^2 + 3x

Front

Given g(x) = 5x + 2 and h(x) = x + 3, find (g / h)(x).

Back

(g / h)(x) = \frac{5x + 2}{x + 3} , x + 3 \neq 0

Front

What is the result of (f + g)(x) if f(x) = x^2 + 2x and g(x) = 3x + 1?

Back

(f + g)(x) = x^2 + 5x + 1