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.
The domain is all real numbers except 3, and the range is all real numbers except 0.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The function is undefined at x = 3, and no value of x makes 1/(x − 3) equal to zero.
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
If f(x) = 2x + 3 and g(x) = x2, find (f ∘ g)(2) and (g ∘ f)(2).
Relations and Functions
Find the domain of f(x) = √(x − 4).
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