You visited us 1 times! Enjoying our articles? Unlock Full Access!

Definition of Functions

fx=[x]sinπ/x+...

Question

$f (x) = [x] sin (\frac{π}{x + 1})$ , where $[.]$ denotes greatest integer function. The domain of $f$ is

R - [- 1, 0)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R - {- 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

R^{+}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $R - {- 1}$
$f$ is defined only if denominator of $sin$ term is not
equal to zero
$\Rightarrow x + 1 \neq 0 \Rightarrow x \neq - 1.$
$∴ x \in R - {- 1}$

Suggest Corrections

Similar questions

f (x) = \frac{tan π [x]}{1 + sin π [x] + [x^{2}]}

f (x) = \frac{sin (log (x^{2} - 4 x + 4))}{([x] - 1)}

[.]

f (x) = \frac{1}{[x]^{2} - 7 [x] + 10}

[.]

f (x) = [x] sin (\frac{π}{[x + 1]})

[.]

f

f

R \to R

f (x) = [x - 3] + | x - 4 |

x \in R

[]

lim x \to 3^{-} f (x) =

Join BYJU'S Learning Program