Let xt be a signal with xt 0 for t SolutionAns xt0 for t2 s

Let x(t) be a signal with x(t) = 0 for t

Solution

Ans) x(t)=0 for t<3

a)

x(1-t)=0 for 1-t <3

   t>(1-3)

t>-2

so range is t>-2

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b)

for x(1-t) t>-2 as found above

for x(2-t) 2-t<3

   t>-1

As the two signal are added total range is t>-1

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c)

same signal in \'b\' but product here,so range here ,t>-2 as one signal becomes 0 enough to make total signal zero,as it is product,but in above case when sum of signal both signals should be zero

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d)

3t<3 gives t<1

so range is t<1