Podcast
Questions and Answers
What is the result of the composition g ∘ h(x) if g(x) = 2x - 1 and h(x) = 3x + 5?
What is the result of the composition g ∘ h(x) if g(x) = 2x - 1 and h(x) = 3x + 5?
- 6x + 9 (correct)
- 6x + 10
- 6x + 4
- 3x + 7
What is the power set of A = {x, y}?
What is the power set of A = {x, y}?
- {Ø, {x, y}}
- {x, y}
- {Ø, {x}, {y}, {x, y}} (correct)
- {{x}, {y}}
If A and B are sets such that A ∩ B = A ∪ B, which statement is correct?
If A and B are sets such that A ∩ B = A ∪ B, which statement is correct?
- A is a subset of B.
- A is empty.
- B is empty.
- A and B contain the same elements. (correct)
If g(x) = (x² - x) / (x + 3), what is g(1) + g(2)?
If g(x) = (x² - x) / (x + 3), what is g(1) + g(2)?
Which of these options describes A - (B ∪ C) correctly?
Which of these options describes A - (B ∪ C) correctly?
Flashcards
Composition of functions (g ∘ h)(x)
Composition of functions (g ∘ h)(x)
Applying function h to x, and then applying function g to the result.
Equal functions
Equal functions
Functions f(x) and g(x) are equal if they produce the same output for all inputs in their defined domain.
Set Difference (A - (B ∪ C))
Set Difference (A - (B ∪ C))
Elements in set A, but not in the union of sets B and C.
Cartesian product of two sets
Cartesian product of two sets
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Power set of a set
Power set of a set
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