91Ó°ÊÓ

\(f(x)=\sqrt{\frac{-\log _{0.3}(x-1)}{-x^{2}+3 x+18}}\)

If \(f\) be function defined on set of non-negative integers and taking values in the same set. Given that:- i. \(x-f(x)=19\left[\frac{x}{19}\right]-90\left[\frac{f(x)}{90}\right]\) for all non-negative integers; ii. \(1900

Express the following functions as sets of ordered pairs and determine their ranges:- i. \(\quad f: A \rightarrow R, f(x)=x^{2}+1\), where \(A=\\{-1,0,2,4\\}\). ii. \(g: A \rightarrow N, g(x)=2 x\), where \(A=\\{x \mid x \in N, x \leq 5\\}\).