Final answer:
Compositions of functions calculator involves four main concepts: composite function, function inverses, function composition notation, and evaluating composite functions.
Step-by-step explanation:
Compositions of functions calculator involves four main concepts: composite function, function inverses, function composition notation, and evaluating composite functions.
Composite function: A composite function is formed by combining two functions, where the output of one function becomes the input of the other function.
Function inverses: An inverse function undoes the action of the original function. It is denoted by f-1 and can be found by swapping the x and y variables in the function equation.
Function composition notation: It is the notation used to represent composition of functions, where one function is applied to the output of another function.
Evaluating composite functions: To evaluate a composite function, substitute the input value into the inner function and then use the resulting output as the input for the outer function.