Composition of Three Functions With Data Table

TL;DR

Learn how to evaluate a composition of three functions by plugging in values and using data tables.

Transcript

in this lesson we're going to focus on a composition of three functions we have f g and H of x so we need to find it and use it to evaluate F of G of H of 2. so let's say that f of x is x squared minus 4X Plus 1. and we're going to say that g of x is the square root of x minus two then that h of x is 5X Plus 6. so go ahead and find F of G of H of x... Read More

Key Insights

• 🔌 Evaluating a composition of three functions involves plugging one function into another and then repeating the process.
• 💦 The second method, starting from the inside and working outward, provides a more efficient way to evaluate functions.
• 🚰 Data tables can be used to evaluate compositions by finding the values of each function at a specific input.

Questions & Answers

Q: How do we evaluate a composition of three functions?

To evaluate a composition of three functions, we first take h and plug it into g, and then take the result and plug it into f.

Q: What is the advantage of using the second evaluation method?

The second method, starting from the inside and working outward, is easier and saves time compared to the first method.

Q: How can we evaluate a composition with a data table?

When given a data table, we find the values of h, g, and f at a specific input, and then substitute those values in the order of h, g, f to evaluate the composition.

Q: What is the difference between the two evaluation methods?

The first method involves direct substitution and can be more complex, while the second method simplifies the process by evaluating the functions in a progressive manner.

Summary & Key Takeaways

• The lesson focuses on finding and evaluating a composition of three functions: f, g, and h.

• The first method involves plugging h into g and then the result into f.

• The second method starts from the inside and works outward, simplifying the evaluation process.