The function f(x) is defined by f(x)={lo...

The function f(x) is defined by `f(x)={log_[4x-3](x^2-2x+5) if `3/41,,, 4 when x=1} `

A

is continuous at x=1

B

is discontinous at x==1 since `f(1^(+))` does not exist though `f(1^(-))` exsits

C

is disccontinous at x=1 since `f(1^(-))` odes not exsits though `f(1^(+))` exsits

D

is discontinuous at x=1 since neither `f(1^(+)) nor f^(1^(-))` exists.

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The correct Answer is:

D

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