The domain of \( f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{1}{2} x^{2}\right)\right) \) is
(a) \...
The domain of \( f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{1}{2} x^{2}\right)\right) \) is
(a) \( (-\infty,-2) \cup(2, \infty) \)
(b) \( [-1,1] \)
(c) \( (-2,-1) \cup(1,2) \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-08 | Let \( f(2,4) \rightarrow(1,3) \) be a function defined by \( f(x)=x-\left[\frac{x}{2}\right] \)... |
2023-06-08 | The period of \( f(x)=\frac{|\sin x|+|\cos x|}{|\sin x-\cos x|} \) is
(a) \( \pi / 2 \)
(b) \( \... |
2023-06-08 | The fundamental period of function, where [.] denotes greatest integer function.
\[
f(x)=[x]+\le... |
2023-06-08 | The range of the function \( y=\log _{3}\left(5+4 x-x^{2}\right) \) is
(a) \( (0,2] \)
(b) \( (-... |
2023-06-08 | Which of the following function(s) has the range \( [-1,1] \)
(a) \( f(x)=\cos (2 \sin x) \)
(b)... |
2023-06-08 | The range of the function \( y=\frac{1}{2-\sin 3 x} \) is
(a) \( \left(\frac{1}{3}, 1\right) \)
... |
2023-06-08 | The range of the function, \( y=\log _{\sqrt{7}}(\sqrt{2}(\sin x-\cos x)+5) \) is
(a) \( R \)
(b... |
2023-06-08 | Domain of \( f(x)=\frac{1}{\sqrt{[x]-x}} \) is: (Here \( [x] \) represents greatest integer func... |
2023-06-08 | The range of the function \( f(x)=\cos \left(\cos ^{-1}\{x\}\right) \) is (where \( \{ \). denot... |
2023-06-08 | Domain of the function \( f(x)=(1-3 x)^{1 / 3}+3 \cos ^{-}\left(\frac{2 x-1}{3}\right) 3^{3 \tan... |
2023-06-08 | The domain of \( f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{1}{2} x^{2}\right)\right) \) is
(a) \... |
2023-06-08 | Domain of the function \( f(x)=\frac{\sin [x-1]}{[x-1][x+2]} \) where \( [x] \) denotes the grea... |
2023-06-08 | Comprehension \( \quad \) In the circuit shown below, the switch \( S \) is connected to positio... |
2023-06-08 | Domain of \( f(x)=\log _{(2 x-5)}\left(x^{2}-3 x-10\right) \)
(a) \( [5, \infty) \)
(b) \( (-\in... |
2023-06-08 | The figure shows a circuit having esssight resistances of \( 1 \Omega \) each, labelled \( R_{1}... |
2023-06-08 | In order to measure the internal resistance \( r_{1} \) of a cell of emf \( E \), a meter bridge... |
2023-06-08 | Comprehension \( \quad \) In the circuit shown below, the switch \( S \) is connected to positio... |
2023-06-08 | Two resistances \( R_{1}=X \Omega \) and \( R_{2}=1 \Omega \) are connected to a wire \( A B \) ... |
2023-06-08 | A uniform heating wire of resistance \( 36 \Omega \) is connected across a potential difference ... |
2023-06-08 | Two wires of same length and thickness having specific resistances \( 6 \Omega \mathrm{cm} \) an... |
2023-06-08 | A square shaped wire with resistance of each side \( 3 \Omega \) is bent to form a complete circ... |