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.

266. Let f : {2, 3, 4, 5} → {3, 4, 5, 9 } and g : {3, 4, 5,9} → {7, 11, 15} be functions defined as f (2) = 3, f (3) = 4, f(4) = f(5) = 5 and g (3) = g (4) = 7 and g (5) = g (9) = 11. Find g of.

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