Composition of Functions (2)

Front

What is the composition of functions?

Back

The composition of functions is a process where one function is applied to the result of another function, denoted as (f ° g)(x) = f(g(x)).

Front

How do you find h(f(-1))?

Back

To find h(f(-1)), first evaluate f(-1) and then substitute that result into h.

Front

What does g(-2) represent?

Back

g(-2) represents the value of the function g when the input is -2.

Front

What is (f + g)(x)?

Back

The sum of two functions f and g, denoted as (f + g)(x), is calculated by adding their outputs: (f + g)(x) = f(x) + g(x).

Front

How do you evaluate (f ° g)(-1)?

Back

To evaluate (f ° g)(-1), first find g(-1) and then substitute that result into f.

Front

What is the significance of function notation?

Back

Function notation, such as f(x), allows us to express the output of a function for a given input clearly and concisely.

Front

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

Back

f(x) and g(x) are two different functions that may have different rules or formulas for calculating their outputs.

Front

How do you find the value of a composite function?

Back

To find the value of a composite function, evaluate the inner function first and then apply the outer function to that result.

Front

What is the domain of a composite function?

Back

The domain of a composite function (f ° g) is the set of all x values in the domain of g such that g(x) is in the domain of f.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y values) that the function can produce.