Practice Inverse Of A Function (4) - Relations and Functions

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8 questions

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Exercise
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6 sample questions

Question 1.
What is the inverse of f(x) = x + 5?
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Think about how to 'undo' the addition of 5.
Question 2.
Determine the inverse of f(x) = 4x.
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What operation reverses multiplication by 4?
3Question 3.
What is the inverse of the function f(x) = 5x - 2?
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Consider how to reverse the subtraction and multiplication.
4Question 4.
True or False: Only surjective functions can have inverses.
- True
- False
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What does it mean for a function to be injective?
Question 5.
Determine the inverse of f(x) = (2x - 1)/(x + 3). Explain how you found your answer.
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Cross-multiply to eliminate the fraction.
Question 6.
Show that f(x) = (3x + 2)² does NOT have an inverse function.
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Investigate the outputs for symmetry.

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