I need to find functions f and g both continuouis at x = 0 for which the composite f at g is discontinuous at x = 0
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The Attempt at a Solution
I thnk it is a matter of looking for a composite function that results in 0 being in the denominator so that it's undefined. Is that the only way to get this composite to be discontinuous?
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and can it be that f\circ g is discontinuous at x = 0 if f and g are both continuous at x = 0 despite the fact that we know that g\circ f cannot be discontinuous at x = 0 if f and g are continuous at x= 0