How to compose functions

The video tutorial explains how to compose two functions, using F(x) and G(x) as examples. It covers the basics of evaluating functions, using creative inputs, and provides examples of function composition. The tutorial also discusses defining rules for functions and introduces notation for function composition.

What is the primary concept behind composing two functions?

• Adding two functions together

• Plugging one function into another

• Multiplying two functions

• Subtracting one function from another

When evaluating F(1) for the function F(x) = 2x - 3, what is the output?

• 2

• 1

• -1

• 0

What happens when you input a shape, like a triangle, into a function?

• The function outputs the same shape

• The function outputs a number

• The function cannot be evaluated

• The function outputs a different shape

What is the output of F(a) if F(x) = 2x - 3?

• 2a + 3

• a^2 - 3

• a - 3

• 2a - 3

If F(x) = 2x - 3 and G(x) = x^2, what is F(G(x))?

• x^2 + 3

• x^2 - 3

• 2x^2 - 3

• 2x - 3

What is the result of composing F(x) into G(x) if F(x) = 2x - 3 and G(x) = x^2?

• 2x - 3

• (2x - 3)^2

• 2x^2 - 3

• x^2 - 3

What is the notation used for function composition?

• F + G

• F - G

• F o G

• F * G