Same chapter3 marksDifficulty: Medium
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
3 marksDifficulty: Medium
Find the domain and range of f(x) = x2 + 1 for real x.
Original Khojo Papers practice question — not from a past board paper.
Answer
The domain is all real numbers and the range is [1, ∞).
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
x2 is never negative, so x2 + 1 is never less than 1, and every value from 1 upwards is attained.
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If f(x) = 2x + 3 and g(x) = x2, find (f ∘ g)(2) and (g ∘ f)(2).
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If A = {1, 2} and B = {a, b}, write A × B and state the number of relations from A to B.
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