Q) Let A = R – {5} and B = R – {1}. Consider the function f: A → B, defined by f(x) = (𝑥

Q) Show that a function f: R → R defined as f(x) = (5𝑥−3)/4 is both one-one and onto.

Q) Let 𝐴={1,2,3,…,8} and 𝑅 be the relation in 𝐴×𝐴 defined by (𝑎,𝑏)𝐑(𝑐,𝑑) if 𝐚+𝐝=𝐛+𝐜 f

Q) A Show that a function f: R → R defined as f(x) = 𝑥^2+𝑥+1 is neither one-one nor onto. Also,

Let R be the relation in the set N given by R = {(a, b): a = b – 2, b = 6}. Then:(a) (2, 4) ∈ R

Relations and Functions | Chapter 1 | Class 12th Maths