Function operations

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(x) represent in a function?

Back

f(x) represents the output of the function f for a given input 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 input into the function's equation and simplify.

Front

What is 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

What is the product of two functions?

Back

The product of two functions f(x) and g(x) is defined as (f*g)(x) = f(x) * g(x).

Front

What is the quotient of two functions?

Back

The quotient of two functions f(x) and g(x) is defined as (f/g)(x) = f(x) / g(x), provided g(x) ≠ 0.

Front

How do you find f(x) + g(x) for f(x) = 2x and g(x) = 3x?

Back

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

Front

Evaluate f(4) if f(x) = 2x^2 + 5x - 3.

Back

f(4) = 2(4)^2 + 5(4) - 3 = 49.

Front

Find f(x) - g(x) if f(x) = x^2 + 9 and g(x) = x - 9.

Back

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