Combining Functions Period 4

Front

What is the result of f(n) - g(n) if f(n) = x² + 1 and g(n) = 2x - 5?

Back

f(n) - g(n) = x² - 2x + 6.

Front

What is the result of f(n) + g(n) if f(n) = n² + 4n and g(n) = -n - 5?

Back

f(n) + g(n) = n² + 3n - 5.

Front

What is the product f(x) ⋅ g(x) if f(x) = 4x + 8 and g(x) = x + 3?

Back

f(x) ⋅ g(x) = 4x² + 20x + 24.

Front

How do you find the value of a function at a specific point, for example, f(2) if f(x) = -2x + 10?

Back

f(2) = -2(2) + 10 = 6.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean to combine functions?

Back

Combining functions involves performing operations such as addition, subtraction, multiplication, or division on two or more functions.

Front

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

Back

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

Front

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

Back

(f - g)(n) = f(n) - g(n).

Front

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

Back

(f ⋅ g)(n) = f(n) * g(n).

Front

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

Back

(f / g)(n) = f(n) / g(n), provided g(n) ≠ 0.