If A has 3 elements and B has 4, how many relations and how many functions are there from A to B?
Relations and Functions
Original Khojo Papers practice question — not from a past board paper.
(f ∘ g)(2) = 11 and (g ∘ f)(2) = 49
No citable source has been recorded for this record. Treat it as practice material, not as fact.
(f ∘ g)(2) = f(4) = 11, while (g ∘ f)(2) = g(7) = 49. The two are different, which shows that composition is not commutative.
From the same topic and chapter, at a similar level.
If A has 3 elements and B has 4, how many relations and how many functions are there from A to B?
Relations and Functions
Find the domain and range of f(x) = x2 + 1 for real x.
Relations and Functions
Find the domain of f(x) = √(x − 4).
Relations and Functions
Find the domain and range of the function f(x) = 1/(x − 3).
Relations and Functions
Distinguish between a relation and a function.
Relations and Functions
If A = {1, 2} and B = {a, b}, write A × B and state the number of relations from A to B.
Relations and Functions