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Question 14

Letbe a function defined as. The inverse of is map g: Range

(A)  

(B) 

(C)  

(D)

Answer

It is given that is defined as 

Let y be an arbitrary element of Range f.

Then, there exists x ∈such that y = f(x)

Let us define g: Rangeas 

      Now,

 

 

Thus, g is the inverse of f i.e., f - 1 = g.

Hence, the inverse of f is the map g: Range, which is given by

.

The correct answer is B.

Popular Questions of Class 12th mathematics

 

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Let A = R – {3} and B = R – {1}. Consider the function  f : A → B defined by

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  • Q:- Determine whether each of the following relations are reflexive, symmetric and transitive:
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    (c) R = {(x, y): x is exactly 7 cm taller than y}
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