which is the right option

6 ) Suppose that f is a function which is continuous every non-zero real number . Suppose further that lim flac) = 1 Consider the function. 9 ( x ) = [ f ( a ) , x to x = 0 which statement is true ? a ) g is a discontinuous function b ) g is discontinuous at 0 c ) ( gog ) ( 0 ) = 1 d ) g has a removable singularity at o d g is continuous everywhere