lets-f-R-R-if-f-f-x-is-continuous-proof-or-give-a-counter-example-that-f-x-is-continous-

Question Number 1454 by 123456 last updated on 06/Aug/15

lets f : R \to R, if (f ∙ f) (x) is continuous

proof or give a counter example that f (x) is continous .

Commented by 123456 last updated on 07/Aug/15

f (x) = {\begin{cases} 3, x > 0 \\ 2, x = 0 \\ 1, x < 0 \end{cases}

Commented by prakash jain last updated on 08/Aug/15

f (x) = \frac{1}{x}