First slide

Functions (XII)

Question

The range of $f (x) = \sqrt{\cos^{- 1} (\log_{4} x) - \frac{π}{2}} + \sin^{- 1} (\frac{1 + x^{2}}{2 x})$ is equal to

Moderate

A

$[0, \frac{π}{2} + \sqrt{\frac{π}{2}}]$
B

$[\frac{π}{2}, \frac{π}{2} + \sqrt{\frac{π}{2}}]$
C

$[\frac{π}{6}, \frac{π}{2}]$
D

$\{\frac{π}{2}\}$

Solution

The domain of f(x) is {1}.
$∴$ Range $(f) = {f (1)} = \{\frac{π}{2}\}$ .

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