Let f : R → R be defined by f ( x ) = x 1 ∀ x ∈ R . Then f is, one-one, onto, bijective, f is not defined

Since, x 1 is not defined for x = 0 ∴ f : R → R can not be defined.

Let f : R → R be defined by f ( x ) = x 1 ∀ x ∈ R . Then f is

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Let $\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$ be defined by $\mathrm{f}(\mathrm{x})=\frac{1}{\mathrm{x}} \forall \mathrm{x} \in \mathrm{R}$. Then $\mathrm{f}$ is

MathematicsRelations and Functions (Class 11)

Options:

A
one-one
B
onto
C
bijective
D
f is not defined

Solution:

1317 Upvotes Verified Answer

The correct answer is:
f is not defined

Since, $\frac{1}{x}$ is not defined for $x=0$ $\therefore \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$ can not be defined.

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