Function Operations and Compositions Review

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function. If f(x) and g(x) are two functions, then the composition of f and g is denoted as (f ∘ g)(x) = f(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 expression and simplify.

Front

What is the result of s(r(1)) if r(x) = 5x + 2 and s(x) = x^2 - 3?

Back

The result is 4.

Front

What is the value of g(g(-6)) if g(n) = 2n + 4?

Back

The value is -12.

Front

How do you perform function operations like addition or subtraction?

Back

To perform function operations, combine the functions algebraically. For example, (f + g)(x) = f(x) + g(x).

Front

What is the value of q(p(-2)) if p(x) = 3x + 4 and q(x) = 2x^2?

Back

The value is 8.

Front

How do you find f(g(0)) if f(x) = 3x + 10 and g(x) = x - 2?

Back

The value is 4.

Front

What is the difference between function evaluation and function composition?

Back

Function evaluation involves finding the output of a function for a specific input, while function composition involves combining two functions to create a new function.

Front

What is the notation for function composition?

Back

The notation for function composition is (f ∘ g)(x), which means f(g(x)).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.