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CGP EDU Academic Team
Published on: August 12, 2026
Let ƒ(x) = Sgn (x) and g(x) = x(x 2 – 5x + 6). The function f(g(x)) is discontinuous at –
Text Solution
Verified by ExpertsThe correct answer is:
C
We have f(g(x)) = sgn (g(x)) = sgn(x(x 2 – 5x + 6)) = sgn x (x – 2) (x – 3)
∴ f(g) x = 
Clearly f(g(x)) is discontinuous at x = 0, 2, 3.
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