Unit 2.3A-C Functions Operations, Compositions & Inverses

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 composition of two functions, where g(x) is applied first, and then f is applied to the result of g(x).

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

Front

What is the composition of functions?

Back

The composition of functions is the process of applying one function to the results of another function.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the notation for the inverse of a function f?

Back

The notation for the inverse of a function f is f^(-1)(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.

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.

Front

How do you evaluate f(g(0))?

Back

To evaluate f(g(0)), first find g(0), then substitute that result into f.

Front

What is the difference between a function and its inverse?

Back

A function takes an input and produces an output, while its inverse takes the output and produces the original input.