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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- November 26th 2011, 02:55 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'? - November 26th 2011, 04:20 AMPlatoRe: Continuity of composite function
- November 26th 2011, 01:33 PMHallsofIvyRe: Continuity of composite function
Or, use f(x)= 1 for all x. That will "smooth" any function!

- November 26th 2011, 01:48 PMalexmahoneRe: Continuity of composite function