Question

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

(A) (B)

(C) (D)

Answer 1

It is given that

Let y be an arbitrary element of Range f.

Then, there exists x ∈such that

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.