Composing Inverse Functions Quiz

If a function f(x) has a domain of [0, ∞), what is the range of its inverse function?

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

• [0, 0]

If a function f(x) has a range of [0, ∞), what is the domain of its inverse function?

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

• [0, 0]

What is the graphical representation of the inverse function of f(x)?

• Reflection over the line y = 0

• Reflection over the line y = x

• Reflection over the line y = -x

• No reflection

What is the value of f(g(6)) if f(x) = 2x + 3 and g(x) = (x - 3) / 2?

• 3

• 4

• 5

• 6

What is the value of g(f(3)) if f(x) = 2x + 3 and g(x) = (x - 3) / 2?

• 3

• 4

• 5

• 6

If g(x) = (x - 3) / 2, what is g(3)?

• 0

• 1

• 2

• 3

What type of functions are f(x) and g(x) in the example?

• Linear functions

• Quadratic functions

• Inverse functions

• Trigonometric functions

What is the relationship between the functions f(x) and g(x)?

• They are both increasing functions.

• They are both decreasing functions.

• They are inverses of each other.

• They are both constant functions.

What is another example of using inverse functions in real-world applications?

• Undoing encryption in cybersecurity

• Baking a cake

• Planting a tree

• Building a house

How can you verify if two functions are inverses of each other?

• By checking if f(g(x)) = x and g(f(x)) = x.

• By checking if f(g(x)) = g(f(x)).

• By checking if f(x) = g(x).

• By checking if f(x) + g(x) = x.