Question

if ((a,b),(7,b)) represents an identity function,then the value of a and b are respectively?a)(5,7) b)(5,5) c)(7,5) d)(7,7)​

Answer 1

Step-by-step explanation:

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Answer 2

Concept

When a function yields the same result as the output that served as its input, it is said to be an identity function. An identity function is a function that returns the same element for each element in a set A, i.e., f(a) = a, a∈ B. It is therefore represented by "I" and has the form f(x) = x. Because the image of an element in the domain and the output in the range are the same, this function is known as an identity function.

Given

Given that ((a,b),(7,b)) represents an identity function.

Find

We have to find the values of a and b.

Solution

Let the identity function be I.

Now, I(a) = b

and I(7) = b

So, we get a = b and b = 7

i.e. a = 7 = b

Therefore, the values of a and b are (7, 7). So, option d is correct.

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