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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 continous at x=1

B

is discontinous at x=1 since `f(1^(+))` does not exist through `f(1^(-))` exists.

C

is discontinous at x=1 since `f(1^(-))` does not exist through `f(1^(+))` exists.

D

is discontinous since neither `f(I^(-))` nor `f^(1^(+))` exists.

Text Solution

Verified by Experts

The correct Answer is:
D
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