Question:
if A =[1,2,3,4], B=[2,4,6,8] and f:A to B as given by f(x)= 2x then write f and f^1 as a set of ordered pairs.
Answer:
Given, A = (1, 2, 3, 4), B = (2, 4, 6, 8) and f : A -> B as given by f(x) = 2x
Now,
f(1) = 2 * 1 = 2
f(2) = 2 * 2 = 4
f(3) = 2 * 3 = 6
f(4) = 2 * 4 = 8
Now, f(A) = {2, 4, 6, 8} = B
Now, f = {(1, 2), (2, 4), (3, 6), (4, 8)}
and f-1 = {(2, 1), (4, 2), (6, 3), (8, 4)}
Not what you are looking for? Go ahead and submit the question, we will get back to you.
