Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \). If \( g(2)=\lim _{x \r...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=m_r6VlnbHzI



Duration: 11:48
1 views
1


Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \).
If \( g(2)=\lim _{x \rightarrow 2} g(x) \), then the domain of the function \( f \circ g \) is
\( (a)(-\infty,-2] \cup\left[-\frac{4}{3}, \infty\right) \)
(b) \( (-\infty,-1] \cup[2, \infty) \)
(c) \( (-\infty,-2] \cup[-1, \infty) \)
(d) \( (-\infty,-2] \cup\left[-\frac{3}{2}, \infty\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08\[ \tan ^{-1} \frac{1}{3}+\tan ^{-1} \frac{2}{9}+\tan ^{-1} \frac{4}{33}+\ldots \ldots \ldots . ...
2023-06-08If \( \left(\sin ^{-1} x\right)^{2}+\left(\cos ^{-1} x\right)^{2}=\frac{5 \pi^{2}}{8} \), then \...
2023-06-08If \( \cos ^{-1} x\sin ^{-1} x \), then: (a) \( x0 \) (b) \( -1x0 \) (c) \( 0 \leq x\frac{1}{\sq...
2023-06-08Solution set of inequation \( \left(\cos ^{-1} x\right)^{2}-\left(\sin ^{-1} x\right)^{2}0 \) is...
2023-06-08Number of solutions of the equation \( \sin ^{-1}\left(x^{2}+4 x+3\right)+\cos ^{-1}\left(x^{2}+...
2023-06-08If \( \sin ^{-1} x+\cot ^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{2} \), then \( x \) is: (a) 0 (...
2023-06-08If \( \sin ^{-1}\left(\tan \frac{\pi}{4}\right)-\sin ^{-1} \sqrt{\frac{3}{x}}-\frac{\pi}{6}=0 \)...
2023-06-08Solution of equation \( \tan \left(\cos ^{-1} x\right)=\sin \left(\cot ^{-1} \frac{1}{2}\right) ...
2023-06-08The value of \( \tan \left[\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)...
2023-06-08For which value of \( x \), \( \sin \left(\cot ^{-1}(x+1)\right)=\cos \left(\tan ^{-1} x\right) ...
2023-06-08Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \). If \( g(2)=\lim _{x \r...
2023-06-08The value of \( 2 \tan ^{-1} \frac{\sqrt{1+x^{2}}-1}{x} \) is equal to: (a) \( \cot ^{-1} x \) (...
2023-06-08If \( \cot ^{-1} 7+\cot ^{-1} 8+\cot ^{-1} 18=\theta \), then \( \cot \theta= \) (a) \( 1 / 3 \)...
2023-06-08If \( 3 \sin ^{-1} \frac{2 x}{1+x^{2}}-4 \cos ^{-1} \frac{1-x^{2}}{1+x^{2}} \) \( +2 \tan ^{-1} ...
2023-06-08If \( \theta=\cot ^{-1} \sqrt{\cos x}-\tan ^{-1} \sqrt{\cos x} \), then \( \sin \theta= \) (a) \...
2023-06-08The value of \( \cos \left(2 \cos ^{-1} x+\sin ^{-1} x\right) \) at \( x=\frac{1}{5} \) is: (a) ...
2023-06-08\( \sin \left[\cot ^{-1} \cos \tan ^{-1} x\right] \) is equal to: (a) \( \sqrt{\left(\frac{x^{2}...
2023-06-08\( \tan \left[\frac{1}{2} \cos ^{-1}\left(\frac{\sqrt{5}}{3}\right)\right]= \) (a) \( \frac{3-\s...
2023-06-08If \( \sin ^{-1} x+\sin ^{-1} y=\frac{2 \pi}{3} \), then \( \cos ^{-1} x+\cos ^{-1} y= \) (a) \(...
2023-06-08If \( a \leq \tan ^{-1} x+\cot ^{-1} x+\sin ^{-1} x \leq b \). Then (a) \( a=0, b=\pi \) (b) \( ...
2023-06-08Let \( f \) be a one-one function with domain \( \{x, y, z\} \) and range \( \{1,2,3\} \). It is...