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f(x)={:{(x+1,x le 1),(2x+1,1 lt x le 2):...

`f(x)={:{(x+1,x le 1),(2x+1,1 lt x le 2):}` and `g(x)={:{(x^(2)",",-1le x lt2),(x+2",",2 le x le 3):}`
The domain of the function `f(g(x))` is

Text Solution

Verified by Experts

The correct Answer is:
`f(g(x))= {{:(x^(2)+1, -1 le x le 1),(2x^(2)+1, 1 lt x le sqrt(2)):}`
`g(f(x)) = {{:((x+1)^(2), -2 le x lt 1),(x+3, x=1):}`
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