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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Originally Posted by deepak 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'? Let .
Or, use f(x)= 1 for all x. That will "smooth" any function!
Originally Posted by HallsofIvy Or, use f(x)= 1 for all x. That will "smooth" any function! If and , is not continuous at .
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