Let \( f:[4, \infty) \rightarrow[1, \infty) \) be defined by \( f(x...
Let \( f:[4, \infty) \rightarrow[1, \infty) \) be defined by \( f(x)=5^{x(x-4)} \).
\( \mathrm{P} \)
Then, \( f^{-1}(x) \) is
W
(1) \( \left(\frac{1}{5}\right)^{x(x-4)} \)
(2) \( 2+\sqrt{4+\log _{5} x} \)
(3) \( \left(\frac{1}{5}\right)^{x(x-4)} \)
(4) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-12-21 | The period of the function \( f(x)=|\sin x|+|\cos x| \) is
\( \math... |
2023-12-21 | Let \( f(x)=\frac{\alpha x}{x+1}, x \neq-1 \). Then, for what value... |
2023-12-21 | Let the function \( f: R-\{-b\} \rightarrow R-\{1\} \) be defined
\... |
2023-12-21 | Let \( g(x)=1+x-[x] \) and
\( \mathrm{P} \)
\( f(x)=\left\{\begin{a... |
2023-12-21 | If \( F:[1, \infty) \rightarrow[2, \infty) \) is given by \( f(x)=x... |
2023-12-21 | The inverse of the function \( f: R \rightarrow\{x \in R: x1\} \)
\... |
2023-12-21 | Let \( f(x)=\frac{1}{1-x} \). Then, \( \left\{f_{\circ}(f \circ f)\... |
2023-12-21 | Let \( A=\{x \in R: x \geq 1\} \). The inverse of the function
\( \... |
2023-12-21 | Let \( A=\{x: 0 \leq x\pi / 2\} \) and \( f: R \rightarrow A \) be ... |
2023-12-21 | If the mean and variance of the frequency distribution
\( \mathrm{P... |
2023-12-21 | Let \( f:[4, \infty) \rightarrow[1, \infty) \) be defined by \( f(x... |
2023-12-21 | Let \( f(x)=x^{2} \) and \( g(x)=2^{x} \). Then, the solution set o... |
2023-12-21 | Let the positive numbers \( a_{1}, a_{2}, a_{3}, a_{4} \) and \( a_... |
2023-12-21 | If \( f(x)=\frac{1-x}{1+x}, x \neq-1 \), then \( f^{-1}(x) \) equal... |
2023-12-21 | If \( f: R \rightarrow R \) is given by \( f(x)=3 x-5 \) then \( f^... |
2023-12-21 | Let \( f:(4,6) \rightarrow(6,8) \) be a function defined by
\( \mat... |
2023-12-21 | If \( f: R \rightarrow S \), defined by
\( \mathrm{P} \)
\( f(x)=\s... |
2023-12-21 | Let \( 9=x_{1}x_{2}\ldots .x_{7} \) be in an A.P. with common diffe... |
2023-12-21 | Let \( X=\{11,12,13, \ldots . ., 40,41\} \) and \( Y=\{61,62 \), \(... |
2023-12-21 | The mean and variance of 5 observations are 5 and 8 respectively. I... |
2023-12-21 | If \( 3 x+5 y+17=0 \) is polar for the circle
\( \mathrm{P} \)
\( x... |