ID: Class: 12 Subject: Math Topic: Relations and Functions Type: Long (LA) Year: 2024

Question:

Show that a function \(f:R\rightarrow R\) defined by \(f(x)=\frac{2x}{1+x^{2}}\) is neither one-one nor onto. Further, find set A so that the given function \(f:R\rightarrow A\) becomes an onto function.