Exploring Function Operations and Compositions

What are the key concepts covered in today's lesson?

What is the result of adding f(x) = 4x + 7 and g(x) = 12 + x?

What is the domain of the function resulting from f(x) - g(x) where f(x) = 4x + 7 and g(x) = 12 + x?

What is the result of multiplying f(x) = x^2 - 9 and g(x) = x + 3?

What type of function is the result of multiplying f(x) = x^2 - 9 and g(x) = x + 3?

What is the domain of the cubic function resulting from f(x) * g(x)?

What tool is used to visualize the functions in the lesson?

What is the first step in composing the functions f(x) = x - 5 and g(x) = x^2 for g(f(-3))?

What is the result of f(-3) when f(x) = x - 5?

What is the final result of g(f(-3)) when f(x) = x - 5 and g(x) = x^2?