Is it possible for a composite function f(g(x)) to be continuous at a point 'x=a'

when g(x) is not continuous at 'x=a'?

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- Nov 26th 2011, 01:55 AMdeepakContinuity of composite function
Is it possible for a composite function f(g(x)) to be continuous at a point 'x=a'

when g(x) is not continuous at 'x=a'? - Nov 26th 2011, 03:20 AMPlatoRe: Continuity of composite function
- Nov 26th 2011, 12:33 PMHallsofIvyRe: Continuity of composite function
Or, use f(x)= 1 for all x. That will "smooth" any function!

- Nov 26th 2011, 12:48 PMalexmahoneRe: Continuity of composite function