Let \( S=\{1,2,3,4,5,6,7,8,9,10\} \). Define
\[
f: S \rightarrow S \text { as } f(n)=\left\{\beg... VIDEO
Let \( S=\{1,2,3,4,5,6,7,8,9,10\} \). Define
\[
f: S \rightarrow S \text { as } f(n)=\left\{\begin{array}{cl}
2 n, & \text { if } n=1,2,3,4,5 \\
2 n-11 & \text { if } n=6,7,8,9,10
\end{array} .\right.
\]
Let \( g: S \rightarrow S \) be a function such that \( f o g(n)=\left\{\begin{array}{ll}n+1, & \text { if } n \text { is odd } \\ n-1, & \text { if } n \text { is even }\end{array}\right. \) then \( g(10)((g(1)+g(2)+g(3)+g(4)+g(5)) \) is equal to
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-08 The number of roots of the equation, \( (81)^{\sin ^{2} x}+(81)^{\cos ^{2} x} \) \( =30 \) in th... 2023-06-08 Let \( f(x) \) and \( g(x) \) be two real polynomials of degree 2 and 1 respectively. If \( f(g(... 2023-06-08 Let \( f: R-\{3\} \rightarrow R-\{1\} \) be defined by \( f(x)=\frac{x-2}{x-3} \).
Let \( g: R \... 2023-06-08 Let \( f: R \rightarrow R \) be a function defined \( f(x)=\frac{2 e^{2 x}}{e^{2 x}+e} \) Then \... 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 Let a function \( f: N \rightarrow N \) be defined by \( f(n)=\left[\begin{array}{ll}2 n, & n=2,... 2023-06-08 The probability that a randomly chosen one-one function from the set \( \{a, b, c, d\} \) to the... 2023-06-08 Number of non-negative integers in the domain of function in the interval \( x \in(0,4) \)
\[
f(... 2023-06-08 Let \( f: N \rightarrow R \) be a function such that \( f(x+y)=2 f(x) f(y) \) for natural number... 2023-06-08 Le \( f(x)=\frac{x-1}{x+1}, x \in R-\{0,-1,1\} \). If \( f^{\mathrm{n}+1}(x)=f\left(f^{\mathrm{n... 2023-06-08 Let \( S=\{1,2,3,4,5,6,7,8,9,10\} \). Define
\[
f: S \rightarrow S \text { as } f(n)=\left\{\beg... 2023-06-08 Let \( f: R \rightarrow R \) be defined as \( f(x)=x-1 \) and \( g: R-\{1,-1\} \rightarrow R \) ... 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 Le \( f: R \rightarrow R \) be a function defined by
\[
f(x)=\left(2\left(1-\frac{x^{25}}{2}\rig... 2023-06-08 The number of one-one function \( f:\{a, b, c, d\} \rightarrow\{0,1 \), \( 2, \ldots, 10\} \) su... 2023-06-08 The domain of the function \( f(x)=\frac{\cos ^{-1}\left(\frac{x^{2}-5 x+6}{x^{2}-9}\right)}{\lo... 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 \( f(x)=a x^{17}+b \sin x \sin 2 x \cdot \sin 3 x+c x^{2} \operatorname{sgn}(\sin x)+d \) \(... 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 } & : \theta \text { is said to be well behaved if it ...