Operations With Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does (f + g)(x) represent?

Back

(f + g)(x) represents the sum of two functions f(x) and g(x) evaluated at x.

Front

How do you find (f - g)(x)?

Back

To find (f - g)(x), subtract the function g(x) from f(x) for each value of x.

Front

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

Back

The formula for multiplying two functions is (f * g)(x) = f(x) * g(x).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation.

Front

What is the result of (f + g)(x) if f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1?

Back

(f + g)(x) = 5x^2 + 6x - 1.

Front

What is the result of (f - g)(x) if f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1?

Back

(f - g)(x) = -3x^2 - 13x.

Front

If g(x) = -2x + 2 and f(x) = 3x^2 + 4, what is (g + f)(-3)?

Back

(g + f)(-3) = 39.

Front

What is the product of f(x) = 3 and g(x) = -2x + 5?

Back

f(x) * g(x) = -6x + 15.

Front

How do you find f(-2) if f(x) = x + 3?

Back

f(-2) = -2 + 3 = 1.