Find the domain n range---

f(x)= Sin^-1(Cos^-1[x])

2 Answers

for [x] cos^-1 function is defined only for [x]=0,1,-1
for [x]=0 or -1, cos^-1[x]=Ï€/2 and Ï€ respectively. which is out of the dom for sin^-1

so the only value ermaining is [x]=1 i.e xÎµ[1,2)

therefore,
the domain is [1,2)
the range is 0

correct me if i'm wrong

no.. ur absolutely right :)

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