Function Operations

Front

What is the definition of function operations?

Back

Function operations involve combining two or more functions using mathematical operations such as addition, subtraction, multiplication, and division.

Front

How do you perform the operation f(x) - g(x)?

Back

To perform f(x) - g(x), subtract the output of g(x) from the output of f(x) for the same input x.

Front

Given f(x) = 2x + 6 and g(x) = -3x + 2, find f(x) - g(x).

Back

f(x) - g(x) = (2x + 6) - (-3x + 2) = 5x + 4.

Front

Given f(x) = x^2 + 9 and g(x) = x - 9, find f(x) - g(x).

Back

f(x) - g(x) = (x^2 + 9) - (x - 9) = x^2 - x + 18.

Front

Given f(x) = -x + 4 and g(x) = 6x + 3, find f(x) - g(x).

Back

f(x) - g(x) = (-x + 4) - (6x + 3) = -7x + 1.

Front

What is the result of g(x) - f(x) if f(x) = 3x - 9 and g(x) = x - 11?

Back

g(x) - f(x) = (x - 11) - (3x - 9) = -2x - 2.

Front

What is the formula for the difference of two functions?

Back

The formula for the difference of two functions is (f - g)(x) = f(x) - g(x).

Front

What is the significance of function operations in mathematics?

Back

Function operations allow for the manipulation and combination of functions to solve complex problems and analyze relationships between variables.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

What is the difference between f(x) + g(x) and f(x) - g(x)?

Back

f(x) + g(x) combines the outputs of both functions, while f(x) - g(x) finds the difference between the outputs.