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

Letbe a function defined as. The inverse | Class 12 Mathematics Chapter Relations and Functions, Relations and Functions NCERT Solutions

Question:

Letbe a function defined as. The inverse of f 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.

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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 3 , Question 14: Letbe a function defined as. The inverse of f is map g: Range (A) (....

Letbe a function defined as. The inverse | Class 12 Mathematics Chapter Relations and Functions, Relations and Functions NCERT Solutions

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