A function `f`has domain `[-1,2]`and rang `[0,1]`. Find the domain and – InterviewSolution

1.	A function `f`has domain `[-1,2]`and rang `[0,1]`. Find the domain and range of the function `g`defined by `g(x)=1-f(x+1)dot`
Answer» Correct Answer - Domain: [-2, 1]; Range: [0, 1] g(x) is defined if `f(x+1)` is defined . Hence, the domain of g is all x such that `(x+1) in [0, 2],` i.e., `-2 le x le 1`. Also, `f(x+1) in [0,1]` ` :. -f(x+1) in [-1,0]` ` :. 1-f(x+1) in [0,1]` Therefore, range of g(x) is [0, 1].

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