Find the number of all one-one functions from set A = {1, 2, 3} to itself.

Let f : Z → Z, g : Z → Z be functions defined by 
f = {(n, n²): n ∈ Z} and g = {(n | n |²): n ∈ Z}. Show that f = g.

Let f : R → R be defined as f (x) = x⁴ Choose the correct answer.

(A) f is one-one onto    (B) f is many-one onto
(C) f is one-one but not onto (D)f is neither one-one nor onto.

Let f : R → R be defined as f (x) = 3 x. Choose the correct answer. (A) f is one-one onto (B) f is many-one onto
(C) f is one-one but not onto (D) f is neither onc-one nor onto.

269. Let f : R → R and g : R → R be defined by f (x) = x² and g (x) = x + 1. Show that g o f ≠ f o g.

 If f (x) = x + 7 and g(x) = x – 7, x ∈ R, find (f o g)(7).