First slide

Functions (XII)

Question

Let $f : {x, y, z} \to {1, 2, 3}$ be a one-one function. If it is given that exactly one of the following statements is true,
Statement-1: $f (x) = 1,$ Statement-2: $f (y) \neq 1,$ Statement-3: $f (z) \neq 2 .$ then $f^{- 1} (1)$ is

Moderate

A

$x$
B

$y$
C

$z$
D

none of these

Solution

If we take $f (x) = 1$ , then $f (y) \neq 1$ as the function is one-one. So $f (x) \neq 1$
If $f (z) = 1,$ then statements $2$ and $3$ both are true,
so $f (z) \neq 1$ hence $f (y) = 1$ and $f^{- 1} (1) = y .$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App