Practice Inverse Functions (1.3.5) - Sets and Functions

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9 questions

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6 sample questions

Question 1.
What is the inverse of the function f(x) = 4x?
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Remember to switch x and y and solve for y.
Question 2.
Is it true that the inverse of a function is just its opposite?
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Think about the definition of inverse.
3Question 3.
Which of the following functions has an inverse?
- f(x) = x² for all x
- f(x) = x + 1
- f(x) = sin(x)
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Evaluate each function's uniqueness.
4Question 4.
True or False: Every function has an inverse.
- True
- False
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Consider the definitions of injective and surjective functions.
Question 5.
If f(x) = e^x, find its inverse.
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Use the property of logarithms to express the inverse.
Question 6.
Explore the function f(x) = 2x + 1. Describe under what restrictions it remains invertible.
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What properties of linear functions keep it unique?

5 more questions in this section. Enroll free to practise them all.