Practice Inverse Functions (1.3.5) - Sets and Functions - ICSE 11 Maths
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Inverse Functions

Practice - Inverse Functions

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the inverse of the function f(x) = 4x?

💡 Hint: Remember to switch x and y and solve for y.

Question 2 Easy

Is it true that the inverse of a function is just its opposite?

💡 Hint: Think about the definition of inverse.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following functions has an inverse?

f(x) = x² for all x
f(x) = x + 1
f(x) = sin(x)

💡 Hint: Evaluate each function's uniqueness.

Question 2

True or False: Every function has an inverse.

True
False

💡 Hint: Consider the definitions of injective and surjective functions.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If f(x) = e^x, find its inverse.

💡 Hint: Use the property of logarithms to express the inverse.

Challenge 2 Hard

Explore the function f(x) = 2x + 1. Describe under what restrictions it remains invertible.

💡 Hint: What properties of linear functions keep it unique?

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