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Question

y=1t2+t2 where t=1x1 then the number of points of discontinuities of y=f(x),xϵR is

A
1
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B
2
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C
3
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D
Infinite
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Solution

The correct option is C 3
t=1x1 is discontinuous at x=1
y=1t2+t2 is discontinuous when
t2+t2=0
Or (t+2)(t1)=0
Or t=2t=1
x=1t+1
When t=2
y=12+1=12
When t=1
x=1+1=2
Hence function is discontinuous at 3 points

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