Question

1. If {(a,8) (6,b)} presents an identity function, then the value of 'a' and 'b' are respectively
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Answer 1

Answer:

a=8

b=6

Step-by-step explanation:

The function f is called the identity function if each element of set A has an image on itself i.e. f (a) = a ∀ a ∈ A.

It is denoted by I.

Example:

Consider, A = {1, 2, 3, 4, 5} and f: A → A such that

f = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}.

Similarly,

f={(a,8),(6,b)} presents an identity function(Given).

So, 'a' should be equal to 8 and 'b' should be equal to 6.

By which, we get f={(8,8),(6,6)} which is an identity function.

Thus,

a=8

b=6