First slide

Functions (XII)

Question

If $f (x + y) = f (x y) \forall x, y ε R,$ and $f (2013)$ = 2013, then f(– 2013) equals

Moderate

A

2013
B

0
C

-2013
D

none of these

Solution

$f (2013) = f (2013 + 0) = f [(2013 (0)] = f (0)$
$\Rightarrow f (0) = 2013$
Also, $f (- 2013) = f (- 2013 + 0) = f (0) = 2013 .$
It can also be seen that $f$ is a constant function.

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