If and , then is discontinuous…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If f(x)=x+1x−1f(x)=\frac{x+1}{x-1} and g(x)=1x−2g(x)=\frac{1}{x-2}, then (f∘g)(x)(f\circ g)(x) is discontinuous at (1) x=3x=3 only (2) x=2x=2 only (3) x=2x=2 and x=3x=3 only (4) x=1x=1 only

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