Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro...
Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real roots and
\[
\begin{array}{c}
f_{1}(x)=\frac{\sqrt{\log _{(\pi+e)}\left(a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c\right)}}{\sqrt{a} \sqrt{-\operatorname{sgn}\left(1+a c+b^{2}\right)}} \\
f_{2}(x)=2 \log _{\sqrt{2}} \cos \left(\tan ^{-1}\left(\sin \left(\pi\left(\cos \left(\pi\left(x+\frac{7}{2}\right)\right)\right)\right)\right)\right) .
\end{array}
\]
Domain of \( f_{1}(x) \) is
(a) \( [-4,-3] \)
(b) \( (-\infty, 3] \cup[4, \infty) \)
(c) \( (-\infty,-4] \cup[-3, \infty) \)
(d) \( [3,4] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-08 | Let \( f:\{k, k+1, k+2, \ldots, 2007\} \rightarrow\{1,2,3, \ldots, n\} \) be defined by \( f(x)=... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | If \( x, y, z \in R \) satisfies the system of equations \( x+[y]+\{z\} \) \( =12.7,[x]+\{y\}+z=... |
| 2023-06-08 | Find the domain of \( f(x)=\frac{\sqrt{\cos x-\frac{1}{2}}}{\sqrt{6+35 x-6 x^{2}}} \) |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | Matrix match
\begin{tabular}{|l|l|l|c|}
\hline \multicolumn{2}{|c|}{\( \begin{array}{c}\text { C... |
| 2023-06-08 | Let \( f(x)=\ln \left(\frac{3+a \sin x}{b+5 \sin x}\right) \) is odd function then number of pos... |
| 2023-06-08 | Let \( A=\{1,3,5,7\} \) and \( B=\{2,4,6,8\} \) and \( f: \mathrm{A} \rightarrow \mathrm{B} \), ... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Consider \( a x^{4}+(7 a-2 b) x^{3}+(12 a-14 b-c) x^{2}-(24 b+7 c) x+1-12 c=0 \), has no real ro... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & \text { : If the function } f(x) \text { satisfies... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \theta \text { is said to be well behaved if it ... |
| 2023-06-08 | Comprehension \( \quad: \) Consider a function \( f: R \rightarrow R \) such that \( (f(x)+f(z))... |
| 2023-06-08 | Show that \( \left(f \circ f^{-1}\right)(x)=\left(f^{-1} \mathrm{\circ} f\right)(x)=x \) for
(i)... |
| 2023-06-08 | Comprehension \( \quad: \) Consider a function \( f: R \rightarrow R \) such that \( (f(x)+f(z))... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & : \text { If the function } f(x) \text { satisfies... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & \text { Let the function } f \text { be defined in... |
| 2023-06-08 | \( \begin{array}{ll}\text { Comprehension } & \text { Let the function } f \text { be defined in... |
| 2023-06-08 | Let \( f \) be an injective function such that \( f(x) f(y)+2=f(x) \) \( +f(y)+f(x y) \forall x,... |
| 2023-06-08 | Which of the following statement(s) is/are correct?
(a) Equation \( \operatorname{sgn}(x)=\sin ^... |
0