If the function f:RrarrR and g:R rarrR are such that f(x) is continuous at x=alpha and f(alpha)=a and g(x) is discontinuous at x = a but g(f(x)) is continuous at x=alpha, then (f(x) and g(x) are non - constant functions)

If the function f:RrarrR and g:R rarrR are such that f(x) is continuou

1.	If the function f:RrarrR and g:R rarrR are such that f(x) is continuous at x=alpha and f(alpha)=a and g(x) is discontinuous at x = a but g(f(x)) is continuous at x=alpha, then (f(x) and g(x) are non - constant functions)
Answer» `X=alpha` is an extremum of f(x) and x = a is an extremum of g(x) `x=alpha` MAY not be an extremum of f(x) and x = a is an extremum of g(x) `x=alpha` is an extremum of f(x) and x= a may not be an extremum of g(x) none of these Answer :C

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If the function f:RrarrR and g:R rarrR are such that f(x) is continuous at x=alpha and f(alpha)=a and g(x) is discontinuous at x = a but g(f(x)) is continuous at x=alpha, then (f(x) and g(x) are non - constant functions)

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