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Let f, g : R → R be functions defined by where [x] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly : (A) one point (B) two points (C) three points (D) four points |
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Answer» Correct option is (B) two points Check continuity at x = 0 and also check continuity at those x where g(x) = 0 g(x) = 0 at x = 0, 2 fog (0+ ) = -1 fog (0) = 0 Hence, discontinuous at x = 0 fog(2+) = 1 fog(2-) = -1 Hence, discontinuous at x = 2 |
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