LimitsHard

Question

If y =, where t = , then the number of points of discontinuities of y = f(x), x ∈ R is

Options

A.1
B.2
C.3
D.infinite

Solution

y = where t = , y = f(x) is discontinuous at x = 1, where t is discontinuous and y = at t = - 2 and t = 1
⇒     ⇒  - 2x + 2 = 1, x =
1 -     ⇒    x = 2
f(g(x)) is discontinuous at x = , 2,1

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