Composition of Functions Quiz

What is the main topic introduced in this section?

• Proving inverses

• Graphing functions

• Composition of functions

• Solving equations

What is the output of g(f(3)) given f(x) = 5x - 3 and g(x) = (x - 1)^2?

• 9

• 15

• 121

• 12

Why is the result of f(g(3)) different from g(f(3))?

• Because the order of composition is reversed

• Because the functions are not defined

• Because the functions are different

• Because the input value is different

What is the output of f(g(3)) given f(x) = 5x - 3 and g(x) = (x - 1)^2?

• 121

• 20

• 17

• 4

In the practice problem, what is the result of f(g(-3))?

• -19

• 19

• 9

• -9

What is the first step in solving f(g(-3))?

• Find f(-3)

• Find g(-3)

• Find f(g(3))

• Find g(f(3))

What is the output of f(h(7)) given h(x) = x^2 + 1 and f(x) = 2x - 1?

• 49

• 100

• 50

• 99

What is the first step in solving f(h(7))?

• Find h(7)

• Find h(f(7))

• Find f(7)

• Find f(h(3))

Why is it important to write the final answer using proper notation?

• To ensure clarity and correctness

• To make it look neat

• To confuse the reader

• To avoid using numbers

What is the correct notation for the result of f(h(7))?

• f(h(7)) = 100

• h(f(7)) = 99

• f(h(7)) = 99

• f(h(7)) = 50