The function `f(x)` is defined in `[0,1]`. Find the domain of `f(tanx) – InterviewSolution

1.	The function `f(x)` is defined in `[0,1]`. Find the domain of `f(tanx).`
Answer» Here, `f(x)` is defined in `[0,1].` So, `x in [0,1],` i.e., the only values of x that we can subsitute lies in `[0,1].` For `f(tanx)` to be defined, we must have `0 le tan x le 1 " [As x is replaced by tan x]" ` i.e., `n pi le x le n pi +(pi)/(4), n in Z " [in general]" ` Thus, the domain of `f(tanx)` is `underset(n in Z)(cup)[n pi,n pi+(pi)/(4)]`

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