Which of the following statements is false? - Vidyadip

MCQ

Which of the following statements is false?

A
$f: A \rightarrow B$ is one-one iff $x_1 \neq x_2$ in $A$ $\Rightarrow f\left(x_1\right) \neq f\left(x_2\right)$ in $B$
B
$f: A \rightarrow B$ is onto iff for each $y$ in $B$, there is some $x$ in $A$ s.t. $f(x)=y$
C
$f: A \rightarrow B$ is invertible iff $f$ is both one-one and onto.
✓
A real valued function $f$ (of a real variable) is invertible iff $f$ is only one-one.

✓

Answer

Correct option: D.

A real valued function $f$ (of a real variable) is invertible iff $f$ is only one-one.

(d)

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