91Ó°ÊÓ

Find the domain of the function \(f(x)=\log _{10}\left(1-\log _{10}\left(x^{2}-5 x+16\right)\right)\)

The number of onto functions from \(A\) to \(B\) where \(A=\\{1,2,3,4,5\\}\) and \(B=\\{3,4,5\\}\) is (a) 100 (b) 120 (c) 140 (d) 150

Determine the nature of the function \(f(x)\), where \(f(x)\) satisfying the relation \(f(x+y)+f(x-y)=2 f(x)\). \(f(y)\)

Find the range of the function \(f(x)=\sin ^{-1}\left(\frac{x^{2}+1}{x^{2}+2}\right)\)

Find the domain of the function \(f(x)=\log _{1 / 2}(\sqrt{x-1}+\sqrt{3-x})\)

Find the number of onto function between two sets \(A=\\{1,2,3,4\\}\) and \(B=\\{4,5\\}\)

Find the number of onto function between two sets \(A\) and \(B\) where \(A=\\{1,2,3,4,5\\}\) and \(B=\\{6,7,8\\}\).