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This video is about composing functions, which is the process of building up a function by composing it from other functions. It explains how to evaluate the composition of functions step by step, using examples with three different function definitions: f (x), g(t), and h(x).
- Intro to Composing Functions
Learn about function composition with examples and...
- Composing functions (article)
Using the definition of function composition, we can first...
- Intro to Combining Functions
Intro to combining functions. Become familiar with the idea...
- Intro to Composing Functions
Learn about function composition with examples and explanations on Khan Academy.
Using the definition of function composition, we can first rewrite (f ∘ g) (t) as f (g (t)) . Now, if we look at the expression f ( g ( t ) ) , we can see that g ( t ) is the input of function f .
Intro to combining functions. Become familiar with the idea that we can add, subtract, multiply, or divide two functions together to make a new function. Just like we can add, subtract, multiply, and divide numbers, we can also add, subtract, multiply, and divide functions.
Watch the next lesson:...
Function combination and composition. Function transformations (shift, reflect, stretch) Piecewise functions. Inverse functions. Two-variable functions. Evaluating functions. Learn. What is a function? Worked example: Evaluating functions from equation. Worked example: Evaluating functions from graph.
We can compose functions by making the output of one function the input of another one. This simple-yet-rich idea opens up a world of fascinating applications. Inverse functions undo each other when we compose them.
