2 votes 2 votes Let $f$ and $g$ be two functions from $[0, 1]$ to $[0, 1]$ with $f$ strictly increasing. Which of the following statements is always correct? If $g$ is continuous, then $f ∘ g$ is continuous If $f$ is continuous, then $f ∘ g$ is continuous If $f$ and $f ∘ g$ are continuous, then $g$ is continuous If $g$ and $f ∘ g$ are continuous, then $f$ is continuous Set Theory & Algebra tifrmaths2015 functions continuity + – makhdoom ghaya asked Dec 19, 2015 edited Aug 17, 2020 by soujanyareddy13 makhdoom ghaya 556 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes I suppose 4 one is correct as for FoG to continuous we must have G must be continuous at point 'a' then F must be continuous at point G(a). Arpit Dhuriya answered Dec 19, 2017 Arpit Dhuriya comment Share Follow See all 0 reply Please log in or register to add a comment.