Practice Composition Of Functions (3) - Relations and Functions

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10 questions

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6 sample questions

Question 1.
Define the composition of functions.
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Think about how one function feeds into another.
Question 2.
Provide the notation for composing functions f and g.
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Consider how we read functions as acting sequentially.
3Question 3.
What does the composition of functions do?
- Creates a new function using two outputs.
- Combines two functions by replacing inputs with outputs.
- Forms a product of two functions.
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Think about how functions interact with their outputs.
4Question 4.
True or False: A function must be bijective to have an inverse.
- True
- False
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Remember the definitions of injective and surjective.
Question 5.
If f(x) = 5 - 2x and g(x) = x², find g∘f(-1) and interpret the meaning of your result.
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Evaluate the functions step by step with careful substitution.
Question 6.
Consider the functions f(x) = 2x + 1 and g(x) = (x - 1)/2. Find the value of f(g(3)).
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Apply each function in sequence to trace the original input.

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