Show that the function f:R→R defined by f(x)=xx2+1,∀ x ϵ R is nei – InterviewSolution

1.	Show that the function f:R→R defined by f(x)=xx2+1,∀ x ϵ R is neither one-one nor onto. Also, if g:R→R is defined as g(x)=2x−1, find fog(x).
Answer» Show that the function $f : R \to R$ defined by $f (x) = \frac{x}{x^{2} + 1}, \forall x ϵ R$ is neither one-one nor onto. Also, if $g : R \to R$ is defined as $g (x) = 2 x - 1$ , find $f o g (x)$ .

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